Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586m |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
395136 |
Modular degree for the optimal curve |
Δ |
-3.4456996272126E+21 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 3 -4 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,3200311,1766681228] |
[a1,a2,a3,a4,a6] |
j |
628805222251722551/597713542447104 |
j-invariant |
L |
1.2934278965272 |
L(r)(E,1)/r! |
Ω |
0.092387706894798 |
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 |
44688bt1 16758u1 5586h1 106134bp1 |
Quadratic twists by: -4 -3 -7 -19 |