Atkin-Lehner |
2+ 5+ 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
88450g |
Isogeny class |
Conductor |
88450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
233856 |
Modular degree for the optimal curve |
Δ |
4318847656250 = 2 · 513 · 29 · 61 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 6 1 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6126,-155602] |
[a1,a2,a3,a4,a6] |
j |
1626794704081/276406250 |
j-invariant |
L |
1.091800163846 |
L(r)(E,1)/r! |
Ω |
0.54590009600248 |
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 |
17690h1 |
Quadratic twists by: 5 |