Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fu |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
78683996160 = 215 · 34 · 5 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1264865,-547116735] |
[a1,a2,a3,a4,a6] |
j |
6829778934856027592/2401245 |
j-invariant |
L |
2.277762654995 |
L(r)(E,1)/r! |
Ω |
0.14236016484587 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hr4 36960v4 |
Quadratic twists by: -4 8 |