Atkin-Lehner |
3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
128673t |
Isogeny class |
Conductor |
128673 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280640 |
Modular degree for the optimal curve |
Δ |
-55795984162431057 = -1 · 38 · 17 · 298 |
Discriminant |
Eigenvalues |
-1 3- 2 -3 3 3 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-900869,329530830] |
[a1,a2,a3,a4,a6] |
j |
-221715817/153 |
j-invariant |
L |
1.399541488409 |
L(r)(E,1)/r! |
Ω |
0.34988583927993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42891d1 128673f1 |
Quadratic twists by: -3 29 |