Atkin-Lehner |
2- 3- 23+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5658g |
Isogeny class |
Conductor |
5658 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4099319456261184 = 26 · 34 · 234 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-46174,-2261116] |
[a1,a2,a3,a4,a6] |
j |
10887214909148618977/4099319456261184 |
j-invariant |
L |
4.0333688445292 |
L(r)(E,1)/r! |
Ω |
0.33611407037743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
45264l3 16974h4 |
Quadratic twists by: -4 -3 |