Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192u |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
1485687956544 = 26 · 312 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3441,50960] |
[a1,a2,a3,a4,a6] |
j |
96576225472/31843449 |
j-invariant |
L |
1.5668541553636 |
L(r)(E,1)/r! |
Ω |
0.78342707832654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60192s1 120384cy2 20064a1 |
Quadratic twists by: -4 8 -3 |