Atkin-Lehner |
5+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9775b |
Isogeny class |
Conductor |
9775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-1349640634296875 = -1 · 57 · 175 · 233 |
Discriminant |
Eigenvalues |
-1 1 5+ -4 -1 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-115713,-15262708] |
[a1,a2,a3,a4,a6] |
j |
-10966054014452809/86377000595 |
j-invariant |
L |
0.7761953152646 |
L(r)(E,1)/r! |
Ω |
0.12936588587743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87975x1 1955a1 |
Quadratic twists by: -3 5 |