Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
3168g |
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+ 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-885,10132] |
[a1,a2,a3,a4,a6] |
j |
1643032000/297 |
j-invariant |
L |
2.1629503636534 |
L(r)(E,1)/r! |
Ω |
2.1629503636534 |
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 |
3168w1 6336x1 1056j1 79200dm1 |
Quadratic twists by: -4 8 -3 5 |