Atkin-Lehner |
2+ 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
43550d |
Isogeny class |
Conductor |
43550 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
81480 |
Modular degree for the optimal curve |
Δ |
-3363320511200 = -1 · 25 · 52 · 137 · 67 |
Discriminant |
Eigenvalues |
2+ -1 5+ -3 2 13+ -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2210,-77740] |
[a1,a2,a3,a4,a6] |
j |
47714836084655/134532820448 |
j-invariant |
L |
0.40765005394854 |
L(r)(E,1)/r! |
Ω |
0.40765005389553 |
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 |
43550ba1 |
Quadratic twists by: 5 |