Atkin-Lehner |
2+ 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
31152b |
Isogeny class |
Conductor |
31152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5888 |
Modular degree for the optimal curve |
Δ |
21931008 = 210 · 3 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 11- -6 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,256] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:6:1] [-3:22:1] |
Generators of the group modulo torsion |
j |
74438500/21417 |
j-invariant |
L |
7.3507251649037 |
L(r)(E,1)/r! |
Ω |
1.9969278657349 |
Real period |
R |
1.8405084357411 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15576k1 124608dc1 93456i1 |
Quadratic twists by: -4 8 -3 |