Atkin-Lehner |
2- 5+ 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47450u |
Isogeny class |
Conductor |
47450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1186250000 = 24 · 57 · 13 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 4 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2438,-46508] |
[a1,a2,a3,a4,a6] |
j |
102568953241/75920 |
j-invariant |
L |
2.7178124860215 |
L(r)(E,1)/r! |
Ω |
0.67945312137695 |
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 |
9490e1 |
Quadratic twists by: 5 |