Atkin-Lehner |
2+ 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
50310j |
Isogeny class |
Conductor |
50310 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3068485309342440 = 23 · 37 · 5 · 138 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-253035,-48855555] |
[a1,a2,a3,a4,a6] |
j |
2457756996626147761/4209170520360 |
j-invariant |
L |
1.7030954431035 |
L(r)(E,1)/r! |
Ω |
0.2128869303689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770be4 |
Quadratic twists by: -3 |