Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bp |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
148535161344 = 29 · 310 · 173 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2091,-31790] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:4:1] |
Generators of the group modulo torsion |
j |
551368/81 |
j-invariant |
L |
5.0061216506168 |
L(r)(E,1)/r! |
Ω |
0.7129432669004 |
Real period |
R |
3.5108836044939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999944605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232bo2 27744k2 83232bj2 |
Quadratic twists by: -4 -3 17 |