Atkin-Lehner |
2- 3- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9648l |
Isogeny class |
Conductor |
9648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-63004787933184 = -1 · 216 · 315 · 67 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20811,1217018] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:1458:1] |
Generators of the group modulo torsion |
j |
-333822098953/21100176 |
j-invariant |
L |
5.5149800628626 |
L(r)(E,1)/r! |
Ω |
0.61231392198984 |
Real period |
R |
1.1258481688895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1206f1 38592ch1 3216d1 |
Quadratic twists by: -4 8 -3 |