Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
44890a |
Isogeny class |
Conductor |
44890 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
530640 |
Modular degree for the optimal curve |
Δ |
16242707102265640 = 23 · 5 · 678 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 6 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-269434,53457316] |
[a1,a2,a3,a4,a6] |
Generators |
[962841121249683095456423940:-50540714185777105246563233852:344801528165520538044219] |
Generators of the group modulo torsion |
j |
5326969/40 |
j-invariant |
L |
5.7797121444691 |
L(r)(E,1)/r! |
Ω |
0.39351123767923 |
Real period |
R |
44.062620766986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
44890n1 |
Quadratic twists by: -67 |