Atkin-Lehner |
2+ 5+ 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
88550h |
Isogeny class |
Conductor |
88550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-72589006393750000 = -1 · 24 · 58 · 73 · 112 · 234 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-189501,-34311352] |
[a1,a2,a3,a4,a6] |
j |
-48165371010832321/4645696409200 |
j-invariant |
L |
0.91029962639995 |
L(r)(E,1)/r! |
Ω |
0.11378744716501 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17710k1 |
Quadratic twists by: 5 |