Duke–Li valuation conjecture for CM coefficients
Let l>3l>3l>3 be a prime with l≡3(mod4)l\equiv 3\pmod{4}l≡3(mod4), let k=Q(−l){\mathsf{k}}=\mathbb{Q}(\sqrt{-l})k=Q(−l), and let ppp be a prime that is non-split in k{\mathsf{k}}k. Let P0∣p\mathfrak{P}_0\mid pP0∣p be t…