Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
59850bd |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
223575124222800 = 24 · 36 · 52 · 79 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -3 -3 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22302,-1055484] |
[a1,a2,a3,a4,a6] |
j |
67312940590345/12267496528 |
j-invariant |
L |
0.79115177630771 |
L(r)(E,1)/r! |
Ω |
0.39557588889994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650s1 59850gl1 |
Quadratic twists by: -3 5 |