  Let f be an $L^2$-normalized weight zero Hecke-Maass cusp form of square-free
level N, character $\chi$ and Laplacian eigenvalue $\lambda\geq 1/4$. It is
shown that $\| f \|_{\infty} \ll_{\lambda} N^{-1/37}$, from which the hybrid
bound $\|f \|_{\infty} \ll \lambda^{1/4} (N\lambda)^{-\delta}$ (for some
$\delta > 0$) is derived. The first bound holds also for $f = y^{k/2}F$ where F
is a holomorphic cusp form of weight k with the implied constant now depending
on k.
