Atkin-Lehner |
2+ 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
1166b |
Isogeny class |
Conductor |
1166 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
3103892 = 22 · 114 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11+ 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1133,-14399] |
[a1,a2,a3,a4,a6] |
j |
160927045436457/3103892 |
j-invariant |
L |
0.82285746505662 |
L(r)(E,1)/r! |
Ω |
0.82285746505662 |
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 |
9328m4 37312l4 10494e4 29150k4 |
Quadratic twists by: -4 8 -3 5 |