Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186r |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-3.826700836482E+21 |
Discriminant |
Eigenvalues |
2- -2 -3 7+ 11- 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3191433,2010855529] |
[a1,a2,a3,a4,a6] |
Generators |
[92:47967:1] |
Generators of the group modulo torsion |
j |
138597069064487/147535882816 |
j-invariant |
L |
3.8590244098846 |
L(r)(E,1)/r! |
Ω |
0.092500548915257 |
Real period |
R |
1.7382889683444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32186n2 |
Quadratic twists by: -11 |