Atkin-Lehner |
3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16731f |
Isogeny class |
Conductor |
16731 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
134784 |
Modular degree for the optimal curve |
Δ |
-328329712102727907 = -1 · 39 · 112 · 1310 |
Discriminant |
Eigenvalues |
0 3- 2 -1 11+ 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,171366,3805753] |
[a1,a2,a3,a4,a6] |
j |
5537792/3267 |
j-invariant |
L |
1.4827042379157 |
L(r)(E,1)/r! |
Ω |
0.18533802973946 |
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 |
5577f1 16731j1 |
Quadratic twists by: -3 13 |