Atkin-Lehner |
3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
88725o |
Isogeny class |
Conductor |
88725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-145558541112075 = -1 · 315 · 52 · 74 · 132 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7- 0 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,9057,-479347] |
[a1,a2,a3,a4,a6] |
j |
19444740423680/34451725707 |
j-invariant |
L |
1.216763057917 |
L(r)(E,1)/r! |
Ω |
0.30419079571274 |
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 |
88725bx1 88725a1 |
Quadratic twists by: 5 13 |