Atkin-Lehner |
2- 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
34680bw |
Isogeny class |
Conductor |
34680 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
497664 |
Modular degree for the optimal curve |
Δ |
436141589435586000 = 24 · 312 · 53 · 177 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-274935,45397458] |
[a1,a2,a3,a4,a6] |
j |
5951163357184/1129312125 |
j-invariant |
L |
5.0877935148711 |
L(r)(E,1)/r! |
Ω |
0.28265519527086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
69360q1 104040k1 2040j1 |
Quadratic twists by: -4 -3 17 |