Atkin-Lehner |
2- 3+ 7+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642bd |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
330240 |
Modular degree for the optimal curve |
Δ |
-941143864752 = -1 · 24 · 33 · 75 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-129680,-17942109] |
[a1,a2,a3,a4,a6] |
j |
-8932557362888671875/34857180176 |
j-invariant |
L |
4.0253294189944 |
L(r)(E,1)/r! |
Ω |
0.12579154999662 |
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 |
96642c1 |
Quadratic twists by: -3 |