Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
3168p |
Isogeny class |
Conductor |
3168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
768 |
Modular degree for the optimal curve |
Δ |
13856832 = 26 · 39 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-405,3132] |
[a1,a2,a3,a4,a6] |
Generators |
[13:8:1] |
Generators of the group modulo torsion |
j |
5832000/11 |
j-invariant |
L |
3.5731978256514 |
L(r)(E,1)/r! |
Ω |
2.2325767043392 |
Real period |
R |
1.6004815506256 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3168b1 6336a2 3168a1 79200j1 |
Quadratic twists by: -4 8 -3 5 |