Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336cl |
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 |
1.7360879120549 |
L(r)(E,1)/r! |
Ω |
1.7360879120549 |
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 |
6336s1 1584d1 704i1 69696gx1 |
Quadratic twists by: -4 8 -3 -11 |