$p$-adic order of Pochhammer k-symbol

I am with the following problem.

There is a closed formula or some lower bound for the $p$-adic valuation of the product $\prod_{k=1}^m(a+k\ell)$ (Pochhammer symbol)? where $a$ and $\ell$ are positive integers.

See Chapter 5, "The $p$-adic evaluation of Pochhammer symbols", in On Dwork’s $p$-adic formal congruences theorem and hypergeometric mirror maps by E. Delaygue, T. Rivoal and J. Roques, Memoirs of the American Mathematical Society 246, 1163 (2017). [A preprint from 2013 has open access here, see page 22.
• I found, but it is only for $\ell=1$ – Tanaku Ohara Feb 20 '17 at 13:46