Aww your sun is lovely! Very pretty. You could try googling some common conure names? Or think of some yourself and make a list. If you'd like your sun to talk (if it does) itd be best to have a one or two syllable name.
or if there is anyone your bird reminds you of, even in a silly way, or a favorite artist, singer, etc. My Georgie was named for my grandmother. They had the same birthday. My Percy was named for the poet Percy Shelley. It sounded really cute when he said his name, because he had that "budgie lisp" sound. Sounded like "Perrrsshy".