Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bn |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
77856768 = 218 · 33 · 11 |
Discriminant |
Eigenvalues |
2- 3+ 4 2 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,80] |
[a1,a2,a3,a4,a6] |
j |
19683/11 |
j-invariant |
L |
3.3418199844538 |
L(r)(E,1)/r! |
Ω |
1.6709099922269 |
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 |
6336j1 1584k1 6336bu1 69696eu1 |
Quadratic twists by: -4 8 -3 -11 |