Atkin-Lehner |
2- 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16560y |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2285280000 = 28 · 33 · 54 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 -4 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10023,-386222] |
[a1,a2,a3,a4,a6] |
j |
16110654114672/330625 |
j-invariant |
L |
0.95429061445699 |
L(r)(E,1)/r! |
Ω |
0.47714530722849 |
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 |
4140a2 66240dy2 16560bf2 82800cr2 |
Quadratic twists by: -4 8 -3 5 |