Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16368d |
Isogeny class |
Conductor |
16368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
34569216 = 210 · 32 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-672,-6480] |
[a1,a2,a3,a4,a6] |
j |
32822955652/33759 |
j-invariant |
L |
1.8752544629284 |
L(r)(E,1)/r! |
Ω |
0.9376272314642 |
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 |
8184k2 65472ci2 49104j2 |
Quadratic twists by: -4 8 -3 |