Cream the cream cheese and sugar in the bowl of an electric mixer fitted with a paddle attachment on medium-high speed until light and fluffy for 5 minutes.
Reduce the speed of the mixer to medium and add the eggs and egg yolks, 2 at a time, mixing well.
Scrape down the bowl and beater.
With the mixer on low, add the lemon juice and vanilla.
Mix thoroughly and pour into the cooled crust.
Bake for 15 minutes.
Turn the oven temperature down to 225 degrees F and bake for another 1 hour and 30 minutes.