Atkin-Lehner |
2- 3- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
50592f |
Isogeny class |
Conductor |
50592 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
24114980352 = 29 · 3 · 17 · 314 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-864,-6600] |
[a1,a2,a3,a4,a6] |
j |
139475374856/47099571 |
j-invariant |
L |
1.8090589584384 |
L(r)(E,1)/r! |
Ω |
0.90452947924979 |
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 |
50592a3 101184e3 |
Quadratic twists by: -4 8 |