Preheat the oven to 160° C w/ fan.
Melt the butter & set aside to cool down.
Line the bkling tin w/ baking parchment; add some oil to the bottom & the sides to allow the baking parchment to stick appropriately.
Grate the lemon zest & squeeze the lemon juice.
Whisk the eggs & the sugar w/ your handheld electric mixer until foamy.
Add the molten butter & whisk until well incorporated. It's rather liquid.
Mix the flour, the baking powder & the salt. Add the liquid mess & whisk until incorporated.
Add the cream & whisk ...
Fold in the lemon zest w/ a spoon.
Pour the mess into the prepared baking tin & bake for about 30 min.
Make the famus test w/ the wooden pin ...
For the icing mix the lemon juice & the icing sugar w/ a spoon until creamy w/o tiny lumps of sugar.
Distribute the lemon icing all over the cake as soon as the cake is out of the oven. If you like you may pierce some little holes w/ the wooden pin to enhance the soaking.
Let the cake rest until it is at room temperature before removing the baking tin & the baking parchment.