Atkin-Lehner |
2- 3- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
96624bu |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
67229501041410048 = 237 · 36 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11- -1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2010243,1096965250] |
[a1,a2,a3,a4,a6] |
Generators |
[-6686775:677281792:15625] |
Generators of the group modulo torsion |
j |
300872095888141441/22515023872 |
j-invariant |
L |
10.637970904924 |
L(r)(E,1)/r! |
Ω |
0.33110368494303 |
Real period |
R |
8.0322051491607 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000011752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12078j1 10736f1 |
Quadratic twists by: -4 -3 |