Atkin-Lehner |
2+ 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550c |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
1088555776000000 = 214 · 56 · 75 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ -1 5+ 7+ 11+ -1 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63675,-6003875] |
[a1,a2,a3,a4,a6] |
j |
1827347754908593/69667569664 |
j-invariant |
L |
0.60249679700672 |
L(r)(E,1)/r! |
Ω |
0.30124840761119 |
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 |
3542n1 |
Quadratic twists by: 5 |