Atkin-Lehner |
5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
18785a |
Isogeny class |
Conductor |
18785 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
46512 |
Modular degree for the optimal curve |
Δ |
5894515037645 = 5 · 132 · 178 |
Discriminant |
Eigenvalues |
2 0 5+ -2 -1 13+ 17- -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4913,-62641] |
[a1,a2,a3,a4,a6] |
j |
1880064/845 |
j-invariant |
L |
1.1894839757025 |
L(r)(E,1)/r! |
Ω |
0.59474198785125 |
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 |
93925n1 18785d1 |
Quadratic twists by: 5 17 |