Atkin-Lehner |
3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15987f |
Isogeny class |
Conductor |
15987 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
31510377 = 34 · 733 |
Discriminant |
Eigenvalues |
-1 3- 0 2 6 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-403,-3136] |
[a1,a2,a3,a4,a6] |
j |
18609625/81 |
j-invariant |
L |
2.1316279604084 |
L(r)(E,1)/r! |
Ω |
1.0658139802042 |
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 |
47961b2 15987g2 |
Quadratic twists by: -3 73 |