Atkin-Lehner |
2+ 13- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12818b |
Isogeny class |
Conductor |
12818 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
90624 |
Modular degree for the optimal curve |
Δ |
128972460032 = 212 · 13 · 174 · 29 |
Discriminant |
Eigenvalues |
2+ 2 -2 -2 0 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-655966,-204762636] |
[a1,a2,a3,a4,a6] |
j |
31215387856948088340457/128972460032 |
j-invariant |
L |
1.3420513187839 |
L(r)(E,1)/r! |
Ω |
0.16775641484799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102544m1 115362o1 |
Quadratic twists by: -4 -3 |