Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
83232bn |
Isogeny class |
Conductor |
83232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
216223184498688 = 212 · 37 · 176 |
Discriminant |
Eigenvalues |
2- 3- 2 4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45084,3615968] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:2684:1] |
Generators of the group modulo torsion |
j |
140608/3 |
j-invariant |
L |
9.8861096243439 |
L(r)(E,1)/r! |
Ω |
0.56071548736945 |
Real period |
R |
4.4078101302996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83232m3 27744f3 288b3 |
Quadratic twists by: -4 -3 17 |