Atkin-Lehner |
2+ 11- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9614b |
Isogeny class |
Conductor |
9614 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
3424737536 = 28 · 113 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 2 2 4 11- 6 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-649,5445] |
[a1,a2,a3,a4,a6] |
j |
30304210142233/3424737536 |
j-invariant |
L |
4.0924045038419 |
L(r)(E,1)/r! |
Ω |
1.364134834614 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76912i1 86526t1 105754t1 |
Quadratic twists by: -4 -3 -11 |