Atkin-Lehner |
2- 3- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
4686c |
Isogeny class |
Conductor |
4686 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
36897760812 = 22 · 3 · 112 · 714 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7849,-268147] |
[a1,a2,a3,a4,a6] |
j |
53477384397109777/36897760812 |
j-invariant |
L |
4.0579216557097 |
L(r)(E,1)/r! |
Ω |
0.50724020696372 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37488o4 14058c4 117150i4 51546c4 |
Quadratic twists by: -4 -3 5 -11 |