Atkin-Lehner |
2- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7360z |
Isogeny class |
Conductor |
7360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-1884160 = -1 · 214 · 5 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 1 6 -6 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-32,96] |
[a1,a2,a3,a4,a6] |
j |
-221184/115 |
j-invariant |
L |
2.4514350340471 |
L(r)(E,1)/r! |
Ω |
2.4514350340471 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7360g1 1840g1 66240el1 36800by1 |
Quadratic twists by: -4 8 -3 5 |