Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3192i |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
366799104 = 28 · 34 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204,576] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:42:1] |
Generators of the group modulo torsion |
j |
3685542352/1432809 |
j-invariant |
L |
3.6560119491348 |
L(r)(E,1)/r! |
Ω |
1.5458250509773 |
Real period |
R |
1.1825438935743 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6384c2 25536u2 9576z2 79800z2 |
Quadratic twists by: -4 8 -3 5 |