Atkin-Lehner |
2+ 7- 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
96922o |
Isogeny class |
Conductor |
96922 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
6303744 |
Modular degree for the optimal curve |
Δ |
-3606701413265763568 = -1 · 24 · 77 · 236 · 432 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- -4 -2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-34181152,76915234974] |
[a1,a2,a3,a4,a6] |
Generators |
[204852:-1217061:64] [172:266449:1] |
Generators of the group modulo torsion |
j |
-37540109966670836221033/30656456181232 |
j-invariant |
L |
4.4933694721913 |
L(r)(E,1)/r! |
Ω |
0.20794848002998 |
Real period |
R |
0.90033708310548 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13846c1 |
Quadratic twists by: -7 |