Geodesic
COMPUTING L-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 77-108

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DOI

We give an explicit description of the stable reduction of superelliptic curves of the form y n =f(x) at primes $\mathfrak{p}$ whose residue characteristic is prime to the exponent n. We then use this description to compute the local L-factor and the exponent of conductor at $\mathfrak{p}$ of the curve. 
BOUW, IRENE I.; WEWERS, STEFAN. COMPUTING L-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES. Glasgow mathematical journal, Tome 59 (2017) no. 1, pp. 77-108. doi: 10.1017/S0017089516000057
@article{10_1017_S0017089516000057,
     author = {BOUW, IRENE I. and WEWERS, STEFAN},
     title = {COMPUTING {L-FUNCTIONS} {AND} {SEMISTABLE} {REDUCTION} {OF} {SUPERELLIPTIC} {CURVES}},
     journal = {Glasgow mathematical journal},
     pages = {77--108},
     year = {2017},
     volume = {59},
     number = {1},
     doi = {10.1017/S0017089516000057},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000057/}
}
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