Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336bc |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
4618944 = 26 · 38 · 11 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1191,15820] |
[a1,a2,a3,a4,a6] |
Generators |
[36:140:1] |
Generators of the group modulo torsion |
j |
4004529472/99 |
j-invariant |
L |
3.6610785069342 |
L(r)(E,1)/r! |
Ω |
2.2655114447187 |
Real period |
R |
3.2320106044654 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336p1 3168u3 2112k1 69696cq1 |
Quadratic twists by: -4 8 -3 -11 |