Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
3192p |
Isogeny class |
Conductor |
3192 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1886395392 = 210 · 36 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 -4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-320,-816] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:36:1] |
Generators of the group modulo torsion |
j |
3550014724/1842183 |
j-invariant |
L |
3.3369755712577 |
L(r)(E,1)/r! |
Ω |
1.1943496834366 |
Real period |
R |
0.46566144147109 |
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 |
6384a2 25536o2 9576m2 79800b2 |
Quadratic twists by: -4 8 -3 5 |