Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
15600cl |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
648960000000000 = 217 · 3 · 510 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34611408,-78386440812] |
[a1,a2,a3,a4,a6] |
j |
71647584155243142409/10140000 |
j-invariant |
L |
3.9835907100982 |
L(r)(E,1)/r! |
Ω |
0.062243604845284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1950q4 62400ej4 46800eh4 3120o3 |
Quadratic twists by: -4 8 -3 5 |