Atkin-Lehner |
2- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
38870bq |
Isogeny class |
Conductor |
38870 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
154752 |
Modular degree for the optimal curve |
Δ |
4878069711580 = 22 · 5 · 139 · 23 |
Discriminant |
Eigenvalues |
2- -3 5- -1 2 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4257,-10539] |
[a1,a2,a3,a4,a6] |
j |
804357/460 |
j-invariant |
L |
2.5617510010149 |
L(r)(E,1)/r! |
Ω |
0.64043775026015 |
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 |
38870l1 |
Quadratic twists by: 13 |