Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
127896d |
Isogeny class |
Conductor |
127896 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2477445402298616832 = 210 · 3 · 738 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 -2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-470728,98422880] |
[a1,a2,a3,a4,a6] |
j |
74438500/15987 |
j-invariant |
L |
4.3778131296941 |
L(r)(E,1)/r! |
Ω |
0.24321190648644 |
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 |
1752b2 |
Quadratic twists by: 73 |