While crust bakes, prepare filling. In a medium bowl, whisk together sugar, salt, and lemon zest. Add lemon juice and whisk until combined.
Add eggs and whisk until mixture is smooth and uniform.
When crust comes out of oven, give lemon mixture one final whisk, then carefully pour over the hot crust.
Return to oven and bake for an additional 18-22 minutes until filling is set around edges but still slightly jiggly in center.
Allow to cool completely at room temperature on a wire rack, then cover and refrigerate until thoroughly chilled, at least 3 hours or overnight.