Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bw |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-23133856207536 = -1 · 24 · 38 · 195 · 89 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 1 1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1823,228856] |
[a1,a2,a3,a4,a6] |
Generators |
[4:486:1] |
Generators of the group modulo torsion |
j |
41852892987392/1445866012971 |
j-invariant |
L |
2.4351221702925 |
L(r)(E,1)/r! |
Ω |
0.51028647224368 |
Real period |
R |
2.3860344174945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999966409 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292n1 |
Quadratic twists by: -4 |