Atkin-Lehner |
3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873p |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
614400 |
Modular degree for the optimal curve |
Δ |
-10532616034869747 = -1 · 318 · 74 · 132 · 67 |
Discriminant |
Eigenvalues |
2 3- 2 7- 6 13+ 5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-111459,-15149817] |
[a1,a2,a3,a4,a6] |
j |
-210059153328443392/14448032969643 |
j-invariant |
L |
8.3282119868701 |
L(r)(E,1)/r! |
Ω |
0.13012831228769 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18291f1 |
Quadratic twists by: -3 |