Atkin-Lehner |
2- 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408dk |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
59019540298727424 = 220 · 3 · 138 · 23 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-132289,-14409409] |
[a1,a2,a3,a4,a6] |
j |
976693446651313/225141678996 |
j-invariant |
L |
4.0717811390276 |
L(r)(E,1)/r! |
Ω |
0.25448632112258 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408k3 14352w3 |
Quadratic twists by: -4 8 |