Atkin-Lehner |
2- 3- 23+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
97704i |
Isogeny class |
Conductor |
97704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-494009206128 = -1 · 24 · 36 · 233 · 592 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 -4 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1509,-25189] |
[a1,a2,a3,a4,a6] |
Generators |
[38:295:1] |
Generators of the group modulo torsion |
j |
32579462912/42353327 |
j-invariant |
L |
4.2545189419555 |
L(r)(E,1)/r! |
Ω |
0.4972777232903 |
Real period |
R |
2.1389048585983 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999972458 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10856b1 |
Quadratic twists by: -3 |