Atkin-Lehner |
2- 3- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96558cs |
Isogeny class |
Conductor |
96558 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
1266680287488 = 28 · 3 · 72 · 116 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 11- 0 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4661,109473] |
[a1,a2,a3,a4,a6] |
j |
6321363049/715008 |
j-invariant |
L |
6.6670295822779 |
L(r)(E,1)/r! |
Ω |
0.83337870846496 |
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 |
798f1 |
Quadratic twists by: -11 |