Atkin-Lehner |
13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
65533a |
Isogeny class |
Conductor |
65533 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
91728 |
Modular degree for the optimal curve |
Δ |
-22458384467987 = -1 · 137 · 713 |
Discriminant |
Eigenvalues |
0 -1 2 0 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18507,-989382] |
[a1,a2,a3,a4,a6] |
j |
-1958755401728/62748517 |
j-invariant |
L |
0.40855005780146 |
L(r)(E,1)/r! |
Ω |
0.20427502477456 |
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 |
65533b1 |
Quadratic twists by: -71 |