Atkin-Lehner |
2- 3+ 19+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168bo |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
6574608 = 24 · 35 · 19 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -2 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-377478,89391843] |
[a1,a2,a3,a4,a6] |
Generators |
[2506:10693:8] |
Generators of the group modulo torsion |
j |
371774686466665696000/410913 |
j-invariant |
L |
6.0540328596123 |
L(r)(E,1)/r! |
Ω |
1.0557065408846 |
Real period |
R |
5.7345792853943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980179 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20292k1 |
Quadratic twists by: -4 |