Atkin-Lehner |
2- 3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
32568h |
Isogeny class |
Conductor |
32568 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
152161864704 = 210 · 32 · 234 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 4 4 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11504,470736] |
[a1,a2,a3,a4,a6] |
j |
164440248974788/148595571 |
j-invariant |
L |
4.0842017548279 |
L(r)(E,1)/r! |
Ω |
1.0210504387069 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65136a4 97704c4 |
Quadratic twists by: -4 -3 |