Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6336z |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
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 |
[-4:72:1] |
Generators of the group modulo torsion |
j |
810448/33 |
j-invariant |
L |
4.5276107960381 |
L(r)(E,1)/r! |
Ω |
1.6723449091481 |
Real period |
R |
1.3536713542975 |
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 |
6336bz1 792d1 2112m1 69696cd1 |
Quadratic twists by: -4 8 -3 -11 |