In a large bowl, beat 2 pounds regular cream cheese, softened, until smooth and lump-free.
Add 1 ¼ cups granulated sugar and beat for about 1 minute, until the sugar starts to dissolve.
Add 3 eggs first and stir by hand. Add the remaining 2 eggs, 1 teaspoon vanilla extract, and mix well without beating. Make sure the egg whites are well incorporated.
Finally, add ¼ cup heavy cream and ¼ cup pure maple syrup and mix until the batter is fully combined.
Pour the filling into the baked pecan crust.
Bake at 350°F (180°C) for 15 minutes. Lower the temperature to 320°F (160°C) and bake for another 30 minutes. Then reduce to 285°F (140°C) and bake for an additional 20–30 minutes, depending on your oven.
The cheesecake is done when it has a flan-like consistency, quite jiggly in the center, with puffed edges, and a softly golden surface. Turn the oven off and let the cheesecake sit inside, door closed, for another 15-20 minutes.
Remove from the oven and let it cool completely on a cooling rack. This is an essential step before refrigerating it.
Wrap the whole pan in plastic wrap, and chill for at least 12 hours in the refrigerator before serving.
It can be frozen, well wrapped in plastic and then aluminum foil, for up to 1 month.