Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336v |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-26013892608 = -1 · 215 · 38 · 112 |
Discriminant |
Eigenvalues |
2+ 3- -4 -2 11+ -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,7760] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:72:1] [-11:81:1] |
Generators of the group modulo torsion |
j |
-8/1089 |
j-invariant |
L |
4.2443746389065 |
L(r)(E,1)/r! |
Ω |
0.94836667491719 |
Real period |
R |
0.55943217311993 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6336bf2 3168bb2 2112i2 69696dp2 |
Quadratic twists by: -4 8 -3 -11 |