The label complex embedded holomorphic cusp form \( f\) is \( N.k.a.x.c.j \) (sometimes shortened as \( a.j\) ), where

\( N\) is the level,

\(k\) is the weight,

\(N.a\) is the label of the Galois orbit of the Dirichlet character,

\(x\) is the Hecke Galois orbit label,

\(N.c\) is the Conrey label for the character corresponding to the embedding, and

\(j\) is the index for the embedding within those with the same Dirichlet character, these are ordered by the vector $\iota(a_n)$, where we order the complex numbers first by their real part and then by their imaginary part.
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 Last edited by Edgar Costa on 20190321 15:51:35
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 20190321 15:51:35 by Edgar Costa (Reviewed)
 20190321 15:50:13 by Edgar Costa
 20181029 20:25:27 by Edgar Costa