Atkin-Lehner |
3- 5+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123975bg |
Isogeny class |
Conductor |
123975 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
31123846265625 = 38 · 56 · 192 · 292 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 0 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8217,102816] |
[a1,a2,a3,a4,a6] |
j |
5386984777/2732409 |
j-invariant |
L |
2.3303952577124 |
L(r)(E,1)/r! |
Ω |
0.58259860318901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41325k2 4959h2 |
Quadratic twists by: -3 5 |