Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cz |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-628634722831440 = -1 · 24 · 3 · 5 · 1310 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 0 13+ -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29156,2261856] |
[a1,a2,a3,a4,a6] |
Generators |
[78:642:1] |
Generators of the group modulo torsion |
j |
-19882681/4560 |
j-invariant |
L |
8.7483418061987 |
L(r)(E,1)/r! |
Ω |
0.49005483713078 |
Real period |
R |
4.4629402409821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999937396 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330bt1 |
Quadratic twists by: 13 |