Atkin-Lehner |
2- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110z |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-581890089595256000 = -1 · 26 · 53 · 139 · 193 |
Discriminant |
Eigenvalues |
2- 1 5- 1 0 13+ 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-281135,68085497] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:11173:1] |
Generators of the group modulo torsion |
j |
-509106268797049/120553784000 |
j-invariant |
L |
11.099256041904 |
L(r)(E,1)/r! |
Ω |
0.27709995967881 |
Real period |
R |
0.55632030439132 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2470b2 |
Quadratic twists by: 13 |