Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
9996o |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
559785236304 = 24 · 3 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16529,811656] |
[a1,a2,a3,a4,a6] |
Generators |
[135:1029:1] |
Generators of the group modulo torsion |
j |
265327034368/297381 |
j-invariant |
L |
4.5125486026218 |
L(r)(E,1)/r! |
Ω |
0.91817499359183 |
Real period |
R |
0.81911557058222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39984cj1 29988bf1 1428a1 |
Quadratic twists by: -4 -3 -7 |