Atkin-Lehner |
3- 7- 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
50589m |
Isogeny class |
Conductor |
50589 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.9701006868352E+23 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11+ -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29574126,56083537939] |
[a1,a2,a3,a4,a6] |
j |
3924026653434956756757217/407421219044614038957 |
j-invariant |
L |
3.3943322893508 |
L(r)(E,1)/r! |
Ω |
0.094287008052442 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16863c5 |
Quadratic twists by: -3 |