Atkin-Lehner |
2+ 3+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624g |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
101627136 = 28 · 34 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -4 -4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121,-131] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:18:1] [-5:18:1] |
Generators of the group modulo torsion |
j |
4566016/2349 |
j-invariant |
L |
7.9294877973122 |
L(r)(E,1)/r! |
Ω |
1.5206052594977 |
Real period |
R |
0.65183647684669 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999996353 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624bk1 |
Quadratic twists by: 13 |