Atkin-Lehner |
2- 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
117624cd |
Isogeny class |
Conductor |
117624 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-24374525421168 = -1 · 24 · 37 · 134 · 293 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -3 13+ -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4000,-215331] |
[a1,a2,a3,a4,a6] |
Generators |
[43:195:1] [46:261:1] |
Generators of the group modulo torsion |
j |
15484661504/53338743 |
j-invariant |
L |
10.800863108887 |
L(r)(E,1)/r! |
Ω |
0.34295323274289 |
Real period |
R |
0.24994992785352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117624y1 |
Quadratic twists by: 13 |