Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
80592bf |
Isogeny class |
Conductor |
80592 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
1492728768626688 = 232 · 32 · 232 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 -6 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-29256,-514188] |
[a1,a2,a3,a4,a6] |
j |
676119482977609/364435734528 |
j-invariant |
L |
6.219989512081 |
L(r)(E,1)/r! |
Ω |
0.38874934604037 |
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 |
10074f1 |
Quadratic twists by: -4 |