Atkin-Lehner |
2+ 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
114840h |
Isogeny class |
Conductor |
114840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2187264 |
Modular degree for the optimal curve |
Δ |
14262929556480 = 210 · 38 · 5 · 114 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6368763,-6186296698] |
[a1,a2,a3,a4,a6] |
Generators |
[-4158656832794210:-4512594695598:2854223781625] |
Generators of the group modulo torsion |
j |
38270266868701743844/19106505 |
j-invariant |
L |
6.7519701133638 |
L(r)(E,1)/r! |
Ω |
0.095035482223983 |
Real period |
R |
17.761708307909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000083988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38280q1 |
Quadratic twists by: -3 |