Atkin-Lehner |
3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
54873o |
Isogeny class |
Conductor |
54873 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
170496 |
Modular degree for the optimal curve |
Δ |
158769593073 = 312 · 73 · 13 · 67 |
Discriminant |
Eigenvalues |
1 3- 4 7- 0 13+ -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55935,-5077832] |
[a1,a2,a3,a4,a6] |
j |
26549202403730161/217790937 |
j-invariant |
L |
3.7252870259227 |
L(r)(E,1)/r! |
Ω |
0.31044058551946 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18291c1 |
Quadratic twists by: -3 |