Atkin-Lehner |
2- 3- 5- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
41610bj |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
8110080 |
Modular degree for the optimal curve |
Δ |
8.3526899978597E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-53516375,-144134004375] |
[a1,a2,a3,a4,a6] |
j |
16950549335173956205094358001/835268999785973291520000 |
j-invariant |
L |
8.0624392402389 |
L(r)(E,1)/r! |
Ω |
0.055989161391437 |
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 |
124830q1 |
Quadratic twists by: -3 |