Storta literally means 'crooked' or 'twisted'. While it can describe a physical object, it often carries a more nuanced, metaphorical meaning in Italian.
In "La Prima Volta," Negramaro sings about being "Appeso ad una luna storta" (Hanging from a crooked moon). This evokes a feeling of being off-kilter, perhaps a bit lost or in an unusual state, making it a vivid and memorable image that goes beyond a simple description.
"La Prima Volta" ("The First Time") looks back at a relationship through three different "first times." The first verse remembers the first time the singer saw this person: a hazy, half-clear memory of a tired look and a crooked moon overhead.
The second verse turns that same phrase dark: "the first time" becomes the first time they were hurt, aimed at and struck almost by accident, with the whole world seeming to shake. The chorus keeps returning to one question, whether anything in the world still looks like what they once were, what they are now, or what they'll become one day.
By the closing verses, the singer admits they don't even remember their own face or their own home anymore. The song ends back where it started, "the first time," but now it means the first time they were truly loved, once everything else has already fallen apart.