Atkin-Lehner |
2+ 7+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
97006a |
Isogeny class |
Conductor |
97006 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
106434922668256 = 25 · 75 · 136 · 41 |
Discriminant |
Eigenvalues |
2+ -1 -1 7+ -2 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-29578,1881716] |
[a1,a2,a3,a4,a6] |
Generators |
[83:43:1] |
Generators of the group modulo torsion |
j |
592915705201/22050784 |
j-invariant |
L |
2.3108365116312 |
L(r)(E,1)/r! |
Ω |
0.5906588155579 |
Real period |
R |
1.9561517276486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999421085 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
574j1 |
Quadratic twists by: 13 |