Atkin-Lehner |
3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
38829g |
Isogeny class |
Conductor |
38829 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
260064 |
Modular degree for the optimal curve |
Δ |
245452205829621 = 3 · 7 · 438 |
Discriminant |
Eigenvalues |
0 3- 3 7+ -6 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-106009,13228345] |
[a1,a2,a3,a4,a6] |
j |
11272192/21 |
j-invariant |
L |
1.6667181289511 |
L(r)(E,1)/r! |
Ω |
0.55557270968987 |
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 |
116487e1 38829e1 |
Quadratic twists by: -3 -43 |