Preheat your oven to 350°F (175°C) and grease a 9x9-inch baking pan. Line it with parchment paper for easy removal.
In a mixing bowl, combine 1 cup of flour, 1/4 cup of cornstarch, 1/4 cup of sugar, 1/2 cup of melted butter, and 2 tablespoons of lemon zest. Mix until crumbly, then press into the bottom of the prepared pan. Bake for 15 minutes until lightly golden. Let cool.
In another bowl, beat the cream cheese with 1/2 cup of sugar until smooth. Add 1 egg and blend well, then pour over the cooled crust. Bake for 10 to 15 minutes until just set.
In a separate bowl, whisk together 4 extra-large eggs, 1 2/3 cups of sugar, 2/3 cup of flour, and 2/3 cup of lemon juice. Mix until smooth, then pour over the cream cheese layer.
Bake for an additional 25 to 30 minutes, or until the center is set with a slight jiggle. Allow to cool to room temperature, then refrigerate for at least 3 hours to set completely.
Before serving, sprinkle icing sugar on top and cut into squares.
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Notes
Store leftovers in an airtight container in the refrigerator for 2-3 days.