Atkin-Lehner |
2- 23- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
37904f |
Isogeny class |
Conductor |
37904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-223178752 = -1 · 212 · 232 · 103 |
Discriminant |
Eigenvalues |
2- 2 0 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-88,816] |
[a1,a2,a3,a4,a6] |
Generators |
[60:456:1] |
Generators of the group modulo torsion |
j |
-18609625/54487 |
j-invariant |
L |
8.6533325536696 |
L(r)(E,1)/r! |
Ω |
1.5576091573615 |
Real period |
R |
2.77776119663 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2369a1 |
Quadratic twists by: -4 |