Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688h |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-316915712 = -1 · 214 · 23 · 292 |
Discriminant |
Eigenvalues |
2+ 0 2 0 2 -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[256:4092:1] |
Generators of the group modulo torsion |
j |
-12869712/19343 |
j-invariant |
L |
6.6275132608134 |
L(r)(E,1)/r! |
Ω |
0.6790323854663 |
Real period |
R |
4.8801157372334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42688o1 5336b1 |
Quadratic twists by: -4 8 |