Atkin-Lehner |
2- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160k |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1723040000 = 28 · 54 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-383,2082] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:50:1] |
Generators of the group modulo torsion |
j |
24270575184/6730625 |
j-invariant |
L |
5.3282729283837 |
L(r)(E,1)/r! |
Ω |
1.3911214292547 |
Real period |
R |
0.95754993351631 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78320l2 |
Quadratic twists by: -4 |