Atkin-Lehner |
2- 5- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4730h |
Isogeny class |
Conductor |
4730 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
3520 |
Modular degree for the optimal curve |
Δ |
-127118750 = -1 · 2 · 55 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 1 5- 5 11- 4 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-330,-2398] |
[a1,a2,a3,a4,a6] |
j |
-3975097468321/127118750 |
j-invariant |
L |
5.5900706924569 |
L(r)(E,1)/r! |
Ω |
0.55900706924569 |
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 |
37840y1 42570f1 23650h1 52030n1 |
Quadratic twists by: -4 -3 5 -11 |