Atkin-Lehner |
5- 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
38675y |
Isogeny class |
Conductor |
38675 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13080 |
Modular degree for the optimal curve |
Δ |
-604296875 = -1 · 58 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
0 -1 5- 7- -3 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-833,-9057] |
[a1,a2,a3,a4,a6] |
j |
-163840000/1547 |
j-invariant |
L |
1.3321144600781 |
L(r)(E,1)/r! |
Ω |
0.44403815337439 |
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 |
38675f1 |
Quadratic twists by: 5 |