Atkin-Lehner |
2- 3- 17+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
16218r |
Isogeny class |
Conductor |
16218 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-68951281104 = -1 · 24 · 314 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 3 3 0 -1 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,724,9983] |
[a1,a2,a3,a4,a6] |
j |
57646656647/94583376 |
j-invariant |
L |
5.996012833903 |
L(r)(E,1)/r! |
Ω |
0.74950160423787 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744bm1 5406e1 |
Quadratic twists by: -4 -3 |