Atkin-Lehner |
3- 5- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
16965q |
Isogeny class |
Conductor |
16965 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
117206655345 = 314 · 5 · 132 · 29 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 6 13+ -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4352,110346] |
[a1,a2,a3,a4,a6] |
j |
12501706118329/160777305 |
j-invariant |
L |
2.1068886551403 |
L(r)(E,1)/r! |
Ω |
1.0534443275702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5655a1 84825t1 |
Quadratic twists by: -3 5 |