Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336u |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-55299396405952512 = -1 · 217 · 320 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-287148,60296240] |
[a1,a2,a3,a4,a6] |
j |
-27403349188178/578739249 |
j-invariant |
L |
2.8274327996759 |
L(r)(E,1)/r! |
Ω |
0.35342909995949 |
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 |
6336cn2 792g2 2112j2 69696do2 |
Quadratic twists by: -4 8 -3 -11 |