Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32096f |
Isogeny class |
Conductor |
32096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
43019713376768 = 29 · 176 · 592 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38768,-2934008] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:118:1] |
Generators of the group modulo torsion |
j |
12585925128581000/84022877689 |
j-invariant |
L |
1.5012127798627 |
L(r)(E,1)/r! |
Ω |
0.34037289712014 |
Real period |
R |
2.205247234084 |
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 |
32096d2 64192bo2 |
Quadratic twists by: -4 8 |