Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76440cn |
Isogeny class |
Conductor |
76440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43392 |
Modular degree for the optimal curve |
Δ |
-9784320 = -1 · 210 · 3 · 5 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -1 13+ 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2536,48320] |
[a1,a2,a3,a4,a6] |
j |
-35962234084/195 |
j-invariant |
L |
4.0756723843426 |
L(r)(E,1)/r! |
Ω |
2.03783618482 |
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 |
76440bz1 |
Quadratic twists by: -7 |