Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
5808h |
Isogeny class |
Conductor |
5808 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-339544467504 = -1 · 24 · 32 · 119 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-887,-30120] |
[a1,a2,a3,a4,a6] |
j |
-2048/9 |
j-invariant |
L |
3.5760247209218 |
L(r)(E,1)/r! |
Ω |
0.39733608010242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2904h1 23232cp1 17424k1 5808i1 |
Quadratic twists by: -4 8 -3 -11 |