Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5586z |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-11158360121198304 = -1 · 25 · 32 · 77 · 196 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,37533,4245345] |
[a1,a2,a3,a4,a6] |
j |
49702082429663/94844496096 |
j-invariant |
L |
5.565787989946 |
L(r)(E,1)/r! |
Ω |
0.2782893994973 |
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 |
44688cl2 16758l2 798g2 106134n2 |
Quadratic twists by: -4 -3 -7 -19 |