  In this paper we continue the study of the valences for (super) edge-magic
labelings of crowns $C_{m}\odot \overline K_{n}$ and we prove that the crowns
are perfect (super) edge-magic when $m=pq$ where $p$ and $q$ are different odd
primes. We also provide a lower bound for the number of different valences of
$C_{m}\odot \overline K_{n}$, in terms of the prime factors of $m$.
