Atkin-Lehner |
3+ 11+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
9867a |
Isogeny class |
Conductor |
9867 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
800 |
Modular degree for the optimal curve |
Δ |
-29601 = -1 · 32 · 11 · 13 · 23 |
Discriminant |
Eigenvalues |
1 3+ -3 1 11+ 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6,9] |
[a1,a2,a3,a4,a6] |
Generators |
[0:3:1] |
Generators of the group modulo torsion |
j |
18191447/29601 |
j-invariant |
L |
3.232774333969 |
L(r)(E,1)/r! |
Ω |
2.54188740084 |
Real period |
R |
0.63590038113031 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29601h1 108537h1 128271i1 |
Quadratic twists by: -3 -11 13 |