Atkin-Lehner |
2- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
16940d |
Isogeny class |
Conductor |
16940 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
16200 |
Modular degree for the optimal curve |
Δ |
-396829664000 = -1 · 28 · 53 · 7 · 116 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 11- 1 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-645,30743] |
[a1,a2,a3,a4,a6] |
j |
-65536/875 |
j-invariant |
L |
2.4119965783034 |
L(r)(E,1)/r! |
Ω |
0.80399885943445 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67760ch1 84700p1 118580h1 140a1 |
Quadratic twists by: -4 5 -7 -11 |