Atkin-Lehner |
2- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59168g |
Isogeny class |
Conductor |
59168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
325660672 = 212 · 433 |
Discriminant |
Eigenvalues |
2- 0 -4 0 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,0] |
[a1,a2,a3,a4,a6] |
j |
1728 |
j-invariant |
L |
1.4480718272284 |
L(r)(E,1)/r! |
Ω |
1.448071826961 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59168g2 118336t1 59168a2 |
Quadratic twists by: -4 8 -43 |