Atkin-Lehner |
2- 3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89700r |
Isogeny class |
Conductor |
89700 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
1.5338421268958E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4165333,2673661088] |
[a1,a2,a3,a4,a6] |
j |
31969289829351424000/6135368507583237 |
j-invariant |
L |
2.8613014808651 |
L(r)(E,1)/r! |
Ω |
0.14306507905951 |
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 |
3588d1 |
Quadratic twists by: 5 |