Notation for the moduli space of elliptic curves with full level $N$ structure?

People denote by $Y(N)$ the moduli space of elliptic curves with level $N$ structure with a fixed Weil paring. What is the common notation for the moduli space of elliptic curves with full level $N$ structure, which has $\phi(N)$ disjoint component each isomorphic to $Y(N)$?

-