Atkin-Lehner |
2+ 3- 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
123354s |
Isogeny class |
Conductor |
123354 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
352256 |
Modular degree for the optimal curve |
Δ |
6702654719376 = 24 · 38 · 72 · 114 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8811,-290763] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:38:1] |
Generators of the group modulo torsion |
j |
103776617908657/9194313744 |
j-invariant |
L |
6.2221377840615 |
L(r)(E,1)/r! |
Ω |
0.49555423819645 |
Real period |
R |
3.1389791912253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000026957 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41118z1 |
Quadratic twists by: -3 |