Atkin-Lehner |
2- 7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
90454m |
Isogeny class |
Conductor |
90454 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29376 |
Modular degree for the optimal curve |
Δ |
37628864 = 26 · 72 · 132 · 71 |
Discriminant |
Eigenvalues |
2- -2 -3 7- -4 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-92,-176] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:12:1] [-6:16:1] |
Generators of the group modulo torsion |
j |
1758677137/767936 |
j-invariant |
L |
9.201500576505 |
L(r)(E,1)/r! |
Ω |
1.6042973565678 |
Real period |
R |
0.47796109089642 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000539 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90454h1 |
Quadratic twists by: -7 |