Preheat the oven to 350°F (175°C). Line a 15x10-inch jelly roll pan with parchment paper and lightly grease.
Beat the eggs on high speed for 5 minutes until pale, thick, and tripled in volume. Gradually add sugar, continuing to beat until fluffy.
In a separate bowl, whisk together the flour, salt, and baking powder. Gently fold this mixture into the egg batter with a spatula.
Fold in the lemon juice, melted butter, and vanilla extract gently to maintain the batter’s airy texture.
Pour the batter evenly into the prepared pan. Bake for 12–15 minutes until lightly golden and springy to the touch.
While warm, turn the cake onto a towel dusted with powdered sugar. Remove the parchment paper and roll the cake with the towel. Let it cool completely.
Unroll the cooled cake carefully and spread the lemon curd evenly over the surface.
Roll the cake back up without the towel and place seam-side down on a serving plate.
Mix powdered sugar with lemon juice until smooth. Drizzle the glaze over the cake and garnish with lemon zest and a dusting of powdered sugar.