Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
10560cg |
Isogeny class |
Conductor |
10560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-14256000000000000 = -1 · 216 · 34 · 512 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,55199,-2824801] |
[a1,a2,a3,a4,a6] |
j |
283811208976796/217529296875 |
j-invariant |
L |
3.5328915215159 |
L(r)(E,1)/r! |
Ω |
0.22080572009474 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10560d4 2640e4 31680dq3 52800ff3 |
Quadratic twists by: -4 8 -3 5 |