Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
10560cj |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-191664000000 = -1 · 210 · 32 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 4 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1275,12123] |
[a1,a2,a3,a4,a6] |
j |
223673040896/187171875 |
j-invariant |
L |
3.9152517988658 |
L(r)(E,1)/r! |
Ω |
0.65254196647764 |
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 |
10560n3 2640p3 31680da3 52800ep3 |
Quadratic twists by: -4 8 -3 5 |