Atkin-Lehner |
2- 3- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18564k |
Isogeny class |
Conductor |
18564 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11586113779968 = -1 · 28 · 38 · 74 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13- 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17108,-882444] |
[a1,a2,a3,a4,a6] |
j |
-2163250719250000/45258256953 |
j-invariant |
L |
1.6677061729908 |
L(r)(E,1)/r! |
Ω |
0.20846327162385 |
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 |
74256cd2 55692v2 129948k2 |
Quadratic twists by: -4 -3 -7 |