Atkin-Lehner |
2+ 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
88360d |
Isogeny class |
Conductor |
88360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
13289344000 = 210 · 53 · 473 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 1 1 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-32696,-2286496] |
[a1,a2,a3,a4,a6] |
j |
36360290012/125 |
j-invariant |
L |
1.4201521977472 |
L(r)(E,1)/r! |
Ω |
0.35503803495838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88360j1 |
Quadratic twists by: -47 |