Atkin-Lehner |
2- 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336cn |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
1149341073408 = 216 · 313 · 11 |
Discriminant |
Eigenvalues |
2- 3- 4 2 11- 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288588,-59671280] |
[a1,a2,a3,a4,a6] |
j |
55635379958596/24057 |
j-invariant |
L |
3.7076822167906 |
L(r)(E,1)/r! |
Ω |
0.20598234537725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336u1 1584e1 2112z1 69696hb1 |
Quadratic twists by: -4 8 -3 -11 |