Atkin-Lehner |
2+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
68614k |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-31836896 = -1 · 25 · 7 · 132 · 292 |
Discriminant |
Eigenvalues |
2+ -3 1 7- -2 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-64,352] |
[a1,a2,a3,a4,a6] |
Generators |
[7:11:1] |
Generators of the group modulo torsion |
j |
-173056689/188384 |
j-invariant |
L |
2.4917949486414 |
L(r)(E,1)/r! |
Ω |
1.8899394688489 |
Real period |
R |
0.65922612601921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614t1 |
Quadratic twists by: 13 |