Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496j |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1161216 |
Modular degree for the optimal curve |
Δ |
8511123418513408 = 227 · 78 · 11 |
Discriminant |
Eigenvalues |
2+ 3 4 7+ 11- 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1960588,-1056632080] |
[a1,a2,a3,a4,a6] |
j |
551516475321/5632 |
j-invariant |
L |
8.1655080203941 |
L(r)(E,1)/r! |
Ω |
0.12758606281854 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34496cd1 1078b1 34496by1 |
Quadratic twists by: -4 8 -7 |