Atkin-Lehner |
2- 5- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89590p |
Isogeny class |
Conductor |
89590 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
896512 |
Modular degree for the optimal curve |
Δ |
73524483428140 = 22 · 5 · 179 · 31 |
Discriminant |
Eigenvalues |
2- -3 5- -4 6 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18117,847569] |
[a1,a2,a3,a4,a6] |
j |
5545233/620 |
j-invariant |
L |
2.3772592698141 |
L(r)(E,1)/r! |
Ω |
0.59431478109047 |
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 |
89590j1 |
Quadratic twists by: 17 |