Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696bp |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
11232346112 = 223 · 13 · 103 |
Discriminant |
Eigenvalues |
2- -2 0 1 3 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1999713,-1089094625] |
[a1,a2,a3,a4,a6] |
j |
3373548958002561625/42848 |
j-invariant |
L |
1.0156581590257 |
L(r)(E,1)/r! |
Ω |
0.12695728286641 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85696p1 21424o1 |
Quadratic twists by: -4 8 |