Atkin-Lehner |
2- 7- 11- 89- |
Signs for the Atkin-Lehner involutions |
Class |
95942bc |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
8538838 = 2 · 72 · 11 · 892 |
Discriminant |
Eigenvalues |
2- 1 2 7- 11- -1 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-57,83] |
[a1,a2,a3,a4,a6] |
Generators |
[258:761:216] |
Generators of the group modulo torsion |
j |
418435297/174262 |
j-invariant |
L |
13.936362807294 |
L(r)(E,1)/r! |
Ω |
2.1015974911963 |
Real period |
R |
3.3156593618522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010214 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942v1 |
Quadratic twists by: -7 |