Atkin-Lehner |
5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
122525i |
Isogeny class |
Conductor |
122525 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5775437233642578125 = 512 · 138 · 29 |
Discriminant |
Eigenvalues |
1 2 5+ 0 -6 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-796500,247643375] |
[a1,a2,a3,a4,a6] |
j |
740971944649/76578125 |
j-invariant |
L |
0.93147213786378 |
L(r)(E,1)/r! |
Ω |
0.23286783303212 |
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 |
24505f2 9425c2 |
Quadratic twists by: 5 13 |