Atkin-Lehner |
3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
15987g |
Isogeny class |
Conductor |
15987 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
210240 |
Modular degree for the optimal curve |
Δ |
529844280374411217 = 32 · 739 |
Discriminant |
Eigenvalues |
-1 3- 0 -2 -6 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-202613,2382504] |
[a1,a2,a3,a4,a6] |
j |
15625/9 |
j-invariant |
L |
0.24948818188155 |
L(r)(E,1)/r! |
Ω |
0.24948818188155 |
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 |
47961c1 15987f1 |
Quadratic twists by: -3 73 |