Linq Left join, where, group by, count()

I need help with doing a Left join in a linq statement. My T-sql query works as expected but I can't seem to get the wanted results from the Linq. I also realize that there are ton of questions like mine, but I can't seem to apply any of the solutions to my case.

Products table

+---+------------+-----------+
|   |transportID |  Type(int)|
+---+------------+-----------+
| 1 | 5          | 1         |
| 2 | 5          | 3         |
| 3 | 6          | 3         |
+---+------------+-----------+

Stores

+---+------------+-------------+
|   |Name        |Type1(string)|
+---+------------+-------------+
| 1 | Ho         | 1           |
| 2 | He         | 2           |
| 3 | Be         | 3           |
| 4 | Ke         | 4           |
| 5 | Fe         | 5           |
+---+------------+-------------+

My wanted result is

+---+------------+-------------+
|   |Type        |Count        |
+---+------------+-------------+
| 1 | 1          | 1           |
| 2 | 2          | 0           |
| 3 | 3          | 1           |
| 4 | 4          | 0           |
| 5 | 5          | 0           |
+---+------------+-------------+

My tsql that works as intended

SELECT 
    Type1,
    Count(Pro.transportId) as Count

FROM dbo.stores as sto

left Join dbo.products as pro on (sto.Type1 = pro.Type AND pro.transportId=5)

Where Type1 is not null
  group by Type1
  ORDER BY Type1 * 1 ASC

My Linq attempt returns this.

+---+------------+-------------+
|   |Type        |Count        |
+---+------------+-------------+
| 1 | 1          | 1           |
| 3 | 3          | 1           |
+---+------------+-------------+

Linq Statement.

var res =   (from sto in _context.Stores
                             join pro in _context.Products on sto.Type1 equals System.Data.Objects.SqlClient.SqlFunctions.StringConvert((double)pro.Type).Trim()
                             where pro.transportId == transportId
                             group pro by pro.Type1 into pt1
                             select new TypeTransportation()
                             {
                                 Type = pt1.Key, // Needs to be int
                                 Count = pt1.Count()
                             }).ToList();

I've tried doing some defaultifempty but can't seem to make it work.