Atkin-Lehner |
2- 7+ 19- 53- |
Signs for the Atkin-Lehner involutions |
Class |
112784q |
Isogeny class |
Conductor |
112784 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8.3904852253441E+34 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 0 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115980528691,-6074802818550030] |
[a1,a2,a3,a4,a6] |
j |
42122973081477546499435389859771017/20484583069687814760777713188864 |
j-invariant |
L |
0.61858134095349 |
L(r)(E,1)/r! |
Ω |
0.0085914030295861 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14098b2 |
Quadratic twists by: -4 |