Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688k |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
638976 |
Modular degree for the optimal curve |
Δ |
-288101089918582784 = -1 · 226 · 236 · 29 |
Discriminant |
Eigenvalues |
2+ -1 3 -4 3 -5 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,147871,-13756703] |
[a1,a2,a3,a4,a6] |
Generators |
[1299:48668:1] |
Generators of the group modulo torsion |
j |
1364048721284327/1099018439936 |
j-invariant |
L |
3.9393316992463 |
L(r)(E,1)/r! |
Ω |
0.17092414711327 |
Real period |
R |
1.920604239646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42688p1 1334c1 |
Quadratic twists by: -4 8 |