Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69696fb |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
62099136 = 26 · 36 · 113 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-99,0] |
[a1,a2,a3,a4,a6] |
Generators |
[900:2385:64] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
7.6138792595228 |
L(r)(E,1)/r! |
Ω |
1.6625067499465 |
Real period |
R |
4.5797584034469 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696fb1 34848l2 7744o1 69696fc1 |
Quadratic twists by: -4 8 -3 -11 |