Atkin-Lehner |
2- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32186q |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
78 |
Product of Tamagawa factors cp |
Δ |
-5.3678978679404E+22 |
Discriminant |
Eigenvalues |
2- 1 0 7+ 11- 7 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-423534108,3354891875600] |
[a1,a2,a3,a4,a6] |
Generators |
[23224:2447012:1] |
Generators of the group modulo torsion |
j |
-69439008934071847697770911625/443627922970281771008 |
j-invariant |
L |
10.308296334595 |
L(r)(E,1)/r! |
Ω |
0.099940188813079 |
Real period |
R |
1.3223673767767 |
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 |
32186m2 |
Quadratic twists by: -11 |