Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bz |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
394149888 = 214 · 37 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-444,-3472] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:9:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
4.4653927139482 |
L(r)(E,1)/r! |
Ω |
1.0426613913301 |
Real period |
R |
1.0706718286202 |
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 |
6336z1 1584g1 2112w1 69696gh1 |
Quadratic twists by: -4 8 -3 -11 |