Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
5586j |
Isogeny class |
Conductor |
5586 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-109117641666204234 = -1 · 2 · 320 · 77 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,9236,-15885470] |
[a1,a2,a3,a4,a6] |
Generators |
[309105:5699600:729] |
Generators of the group modulo torsion |
j |
740480746823/927484650666 |
j-invariant |
L |
2.7503315533901 |
L(r)(E,1)/r! |
Ω |
0.15546130088712 |
Real period |
R |
8.8457112403399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44688cw3 16758bp4 798d4 106134da3 |
Quadratic twists by: -4 -3 -7 -19 |