Atkin-Lehner |
2+ 3- 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960i |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.9830424351621E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 2 -2 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23272563,15840407662] |
[a1,a2,a3,a4,a6] |
j |
933681761518863863522/467721356521811175 |
j-invariant |
L |
0.32040709098273 |
L(r)(E,1)/r! |
Ω |
0.080101772571478 |
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 |
115920z2 19320z2 |
Quadratic twists by: -4 -3 |