Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
11154bg |
Isogeny class |
Conductor |
11154 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1217837505522326832 = 24 · 33 · 112 · 1312 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- 13+ 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-304288,36783824] |
[a1,a2,a3,a4,a6] |
j |
645532578015625/252306960048 |
j-invariant |
L |
5.9668123312484 |
L(r)(E,1)/r! |
Ω |
0.24861718046868 |
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 |
89232z2 33462r2 122694be2 858b2 |
Quadratic twists by: -4 -3 -11 13 |