Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bb |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
81168 = 24 · 3 · 19 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 -2 -1 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28,47] |
[a1,a2,a3,a4,a6] |
j |
157216000/5073 |
j-invariant |
L |
3.4045066727808 |
L(r)(E,1)/r! |
Ω |
3.4045066676067 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584n1 |
Quadratic twists by: -4 |