Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496h |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
75264 |
Modular degree for the optimal curve |
Δ |
2077910990848 = 215 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ -1 4 7+ 11- 5 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3201,-6047] |
[a1,a2,a3,a4,a6] |
j |
19208/11 |
j-invariant |
L |
2.7530361653151 |
L(r)(E,1)/r! |
Ω |
0.68825904133029 |
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 |
34496a1 17248a1 34496bk1 |
Quadratic twists by: -4 8 -7 |