Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336s |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
-131383296 = -1 · 214 · 36 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -3 -2 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-144,-864] |
[a1,a2,a3,a4,a6] |
j |
-27648/11 |
j-invariant |
L |
0.67582387639683 |
L(r)(E,1)/r! |
Ω |
0.67582387639683 |
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 |
6336cl1 792f1 704e1 69696dg1 |
Quadratic twists by: -4 8 -3 -11 |