Atkin-Lehner |
2- 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
32186w |
Isogeny class |
Conductor |
32186 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.1274610776823E+20 |
Discriminant |
Eigenvalues |
2- 1 0 7- 11- -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,947367,367531055] |
[a1,a2,a3,a4,a6] |
Generators |
[332610:15820925:216] |
Generators of the group modulo torsion |
j |
438669015863375/525968913638 |
j-invariant |
L |
10.413459047186 |
L(r)(E,1)/r! |
Ω |
0.12525426785259 |
Real period |
R |
6.9282130566079 |
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 |
32186a2 |
Quadratic twists by: -11 |