Atkin-Lehner |
2- 3+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
6336bi |
Isogeny class |
Conductor |
6336 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
54811164672 = 224 · 33 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 11+ -2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65580,-6464048] |
[a1,a2,a3,a4,a6] |
j |
4406910829875/7744 |
j-invariant |
L |
1.1933469809114 |
L(r)(E,1)/r! |
Ω |
0.29833674522786 |
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 |
6336g2 1584j2 6336bp4 69696ee2 |
Quadratic twists by: -4 8 -3 -11 |