Atkin-Lehner |
2+ 3- 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
117576d |
Isogeny class |
Conductor |
117576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
322488972822528 = 211 · 310 · 232 · 712 |
Discriminant |
Eigenvalues |
2+ 3- 4 0 0 -4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36003,2483390] |
[a1,a2,a3,a4,a6] |
j |
3456864072002/216001809 |
j-invariant |
L |
4.2672093640542 |
L(r)(E,1)/r! |
Ω |
0.53340125415775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39192h2 |
Quadratic twists by: -3 |