Atkin-Lehner |
2- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
54418f |
Isogeny class |
Conductor |
54418 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
263424 |
Modular degree for the optimal curve |
Δ |
-292842270343168 = -1 · 214 · 7 · 136 · 232 |
Discriminant |
Eigenvalues |
2- 2 0 7+ -4 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,5827,807763] |
[a1,a2,a3,a4,a6] |
j |
4533086375/60669952 |
j-invariant |
L |
5.6698954303764 |
L(r)(E,1)/r! |
Ω |
0.40499253082443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
322b1 |
Quadratic twists by: 13 |