Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3192h |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
2010500352 = 28 · 310 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 0 -2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-628,5456] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:108:1] |
Generators of the group modulo torsion |
j |
107165266000/7853517 |
j-invariant |
L |
4.0440389970535 |
L(r)(E,1)/r! |
Ω |
1.4429373117644 |
Real period |
R |
0.56052871653979 |
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 |
6384b2 25536r2 9576y2 79800v2 |
Quadratic twists by: -4 8 -3 5 |