Atkin-Lehner |
2+ 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336c |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1216512 = 212 · 33 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-180,928] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
5832000/11 |
j-invariant |
L |
3.7752441970964 |
L(r)(E,1)/r! |
Ω |
2.7343368686278 |
Real period |
R |
0.69033999438975 |
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 |
6336f2 3168q1 6336h2 69696h2 |
Quadratic twists by: -4 8 -3 -11 |