Whole lemon cake

250 g melted butter 300 g sugar 4 eggs 2 small unwaxed lemons (or 1 large) 300 g all-purpose flour 2 tsp baking powder ½ tsp baking soda

For the glaze:

150 g powdered sugar 50 ml lemon juice (or as needed for a thick glaze) Zest from ½ lemon