Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152bl |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2.6647730736768E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1609275,24153194] |
[a1,a2,a3,a4,a6] |
Generators |
[-1300937:34279936:1331] |
Generators of the group modulo torsion |
j |
154357248921765625/89242711068672 |
j-invariant |
L |
5.1826994507511 |
L(r)(E,1)/r! |
Ω |
0.14784307823147 |
Real period |
R |
8.7638520395198 |
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 |
2394n3 76608ef3 6384q3 |
Quadratic twists by: -4 8 -3 |