Atkin-Lehner |
5+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
38675f |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2616 |
Modular degree for the optimal curve |
Δ |
-38675 = -1 · 52 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
0 1 5+ 7+ -3 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-33,-86] |
[a1,a2,a3,a4,a6] |
j |
-163840000/1547 |
j-invariant |
L |
0.99289949552702 |
L(r)(E,1)/r! |
Ω |
0.99289949554861 |
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 |
38675y1 |
Quadratic twists by: 5 |