Entity Framework: How to avoid Discriminator column from table?

I have the following table created using Entity Framework Code First approach.

1. How do I modify the C# code so that the unwanted Discriminator column is not created in the database? Are there any attributes to achieve this?
2. How do I make the foreign key column named PaymentID instead of Payment_ PaymentID? Are there any attributes to achieve this?

Note: Runtime version for EntityFramework.dll is v4.0.30XXX.

CODE

public abstract class PaymentComponent
{
    public int PaymentComponentID { get; set; }
    public int MyValue { get; set; }
    public string MyType { get; set; }
    public abstract int GetEffectiveValue();
}

public partial class GiftCouponPayment : PaymentComponent
{
    public override int GetEffectiveValue()
    {
        if (MyValue < 2000)
        {
            return 0;
        }
        return MyValue;
    }
}

public partial class ClubCardPayment : PaymentComponent
{
    public override int GetEffectiveValue()
    {
        return MyValue;
    }
}

public partial class Payment
{
    public int PaymentID { get; set; }
    public List<PaymentComponent> PaymentComponents { get; set; }
    public DateTime PayedTime { get; set; }
}

//System.Data.Entity.DbContext is from EntityFramework.dll
public class NerdDinners : System.Data.Entity.DbContext
{
    public NerdDinners(string connString) : base(connString)
    { 

    }

    protected override void OnModelCreating(DbModelBuilder modelbuilder)
    {
        modelbuilder.Conventions.Remove<PluralizingTableNameConvention>();
    }

    public DbSet<GiftCouponPayment> GiftCouponPayments { get; set; }
    public DbSet<ClubCardPayment> ClubCardPayments { get; set; }
    public DbSet<Payment> Payments { get; set; }
}

CLIENT

static void Main(string[] args)
{
    string connectionstring = "Data Source=.;Initial Catalog=NerdDinners;Integrated Security=True;Connect Timeout=30";

    using (var db = new NerdDinners(connectionstring))
    {                
        GiftCouponPayment giftCouponPayment = new GiftCouponPayment();
        giftCouponPayment.MyValue = 250;
        giftCouponPayment.MyType = "GiftCouponPayment";

        ClubCardPayment clubCardPayment = new ClubCardPayment();
        clubCardPayment.MyValue = 5000;
        clubCardPayment.MyType = "ClubCardPayment";

        List<PaymentComponent> comps = new List<PaymentComponent>();
        comps.Add(giftCouponPayment);
        comps.Add(clubCardPayment);

        var payment = new Payment { PaymentComponents = comps, PayedTime=DateTime.Now };
        db.Payments.Add(payment);

        int recordsAffected = db.SaveChanges();
    }
}