Atkin-Lehner |
2+ 3- 5+ 29+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
32190i |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-114902749332900 = -1 · 22 · 36 · 52 · 292 · 374 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,11416,214346] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:337:1] |
Generators of the group modulo torsion |
j |
164558483925163271/114902749332900 |
j-invariant |
L |
3.9520007831114 |
L(r)(E,1)/r! |
Ω |
0.37416437029604 |
Real period |
R |
0.22004593751941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570bb2 |
Quadratic twists by: -3 |