Atkin-Lehner |
2+ 5+ 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
92120c |
Isogeny class |
Conductor |
92120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
436224 |
Modular degree for the optimal curve |
Δ |
1007562500000000 = 28 · 512 · 73 · 47 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 6 2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145943,21405258] |
[a1,a2,a3,a4,a6] |
Generators |
[9597:102592:27] |
Generators of the group modulo torsion |
j |
3915069128661168/11474609375 |
j-invariant |
L |
6.1175684794527 |
L(r)(E,1)/r! |
Ω |
0.49528181622682 |
Real period |
R |
6.1758460329942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992409 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92120f1 |
Quadratic twists by: -7 |