Atkin-Lehner |
2- 3- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570s |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1391616 |
Modular degree for the optimal curve |
Δ |
27121011006334500 = 22 · 36 · 53 · 29 · 376 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-304598,-64141919] |
[a1,a2,a3,a4,a6] |
j |
4287222165289972761/37203032930500 |
j-invariant |
L |
3.2532337939141 |
L(r)(E,1)/r! |
Ω |
0.20332710450167 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10730a1 |
Quadratic twists by: -3 |