Atkin-Lehner |
3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
125775p |
Isogeny class |
Conductor |
125775 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1621730616416015625 = 312 · 510 · 132 · 432 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 4 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2177667,-1234839384] |
[a1,a2,a3,a4,a6] |
j |
100265305131532009/142374155625 |
j-invariant |
L |
4.474463272673 |
L(r)(E,1)/r! |
Ω |
0.12429072244108 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41925i2 25155o2 |
Quadratic twists by: -3 5 |