Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586x |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
91006208687314368 = 26 · 314 · 77 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -6 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-159496,19693001] |
[a1,a2,a3,a4,a6] |
j |
3814038123905521/773540010432 |
j-invariant |
L |
3.8537568431216 |
L(r)(E,1)/r! |
Ω |
0.32114640359347 |
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 |
44688cz2 16758p2 798h2 106134bl2 |
Quadratic twists by: -4 -3 -7 -19 |