Atkin-Lehner |
2- 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129744bu |
Isogeny class |
Conductor |
129744 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.1518787459294E+23 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6430107,-23184194870] |
[a1,a2,a3,a4,a6] |
j |
-9846702923472312409/72065983807327122 |
j-invariant |
L |
1.0071888178019 |
L(r)(E,1)/r! |
Ω |
0.041966202022805 |
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 |
16218u2 43248bc2 |
Quadratic twists by: -4 -3 |