Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186p |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-2.9685109386638E+19 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1288713,621014681] |
[a1,a2,a3,a4,a6] |
Generators |
[202:19107:1] |
Generators of the group modulo torsion |
j |
-9125685765625/1144489472 |
j-invariant |
L |
9.1677568800913 |
L(r)(E,1)/r! |
Ω |
0.2031316272109 |
Real period |
R |
2.5073388800403 |
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 |
32186l2 |
Quadratic twists by: -11 |