Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
69600br |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3480000000 = 29 · 3 · 57 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-116008,-15247012] |
[a1,a2,a3,a4,a6] |
j |
21582477031688/435 |
j-invariant |
L |
4.1390172964706 |
L(r)(E,1)/r! |
Ω |
0.25868858087046 |
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 |
69600h4 13920g2 |
Quadratic twists by: -4 5 |