Atkin-Lehner |
2+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6622a |
Isogeny class |
Conductor |
6622 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
11757749764376 = 23 · 710 · 112 · 43 |
Discriminant |
Eigenvalues |
2+ 2 2 7+ 11- 0 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-221644,40071000] |
[a1,a2,a3,a4,a6] |
j |
1204189154653009322953/11757749764376 |
j-invariant |
L |
2.583650730835 |
L(r)(E,1)/r! |
Ω |
0.64591268270876 |
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 |
52976y2 59598r2 46354n2 72842y2 |
Quadratic twists by: -4 -3 -7 -11 |