Atkin-Lehner |
2- 3+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
16188a |
Isogeny class |
Conductor |
16188 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
1230288 = 24 · 3 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 0 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-77,282] |
[a1,a2,a3,a4,a6] |
j |
3196715008/76893 |
j-invariant |
L |
1.3621914008782 |
L(r)(E,1)/r! |
Ω |
2.7243828017564 |
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 |
64752l1 48564a1 |
Quadratic twists by: -4 -3 |