Atkin-Lehner |
3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
8487f |
Isogeny class |
Conductor |
8487 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-184923930447 = -1 · 314 · 23 · 412 |
Discriminant |
Eigenvalues |
-1 3- 2 2 -2 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,481,20166] |
[a1,a2,a3,a4,a6] |
j |
16915218263/253667943 |
j-invariant |
L |
1.5006994052026 |
L(r)(E,1)/r! |
Ω |
0.75034970260131 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2829d2 |
Quadratic twists by: -3 |