In the bowl of an electric mixer, beat the cream cheese at medium-low speed until it is softened. Add the salt and sugar and beat until well combined, about 1 minute. Add the sour cream, lemon juice, and vanilla and beat on low speed until combined. Add the eggs and yolks, one at a time, until combined, moving slowly. Scrape down the sides of the bowl as necessary. Pour the filling into the cooled crust and baked for 10 minutes. Reduce the oven temperature to 200°F and continue to cook for 1 1/2 hours, or until the cheesecake reaches an internal temperature of 150°F.