Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53824f |
Isogeny class |
Conductor |
53824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
201600 |
Modular degree for the optimal curve |
Δ |
17663873340416 = 210 · 297 |
Discriminant |
Eigenvalues |
2+ 2 2 4 -6 -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31397,2142245] |
[a1,a2,a3,a4,a6] |
Generators |
[32135285:65486988:274625] |
Generators of the group modulo torsion |
j |
5619712/29 |
j-invariant |
L |
10.764146136491 |
L(r)(E,1)/r! |
Ω |
0.6949361965454 |
Real period |
R |
7.7447010171189 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53824bb1 3364b1 1856e1 |
Quadratic twists by: -4 8 29 |