Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bl |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
54450585516096 = 26 · 34 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11- -2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9962,-146280] |
[a1,a2,a3,a4,a6] |
j |
964430272/480249 |
j-invariant |
L |
2.0124913128955 |
L(r)(E,1)/r! |
Ω |
0.50312282996674 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81312k1 7392g1 |
Quadratic twists by: -4 -11 |