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 |
5.7311035565564E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 6 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-88080555,-318174471718] |
[a1,a2,a3,a4,a6] |
Generators |
[-4499500247842804148659:-624501018165977808896:831880915638150169] |
Generators of the group modulo torsion |
j |
25309080274342544331625/191933498523648 |
j-invariant |
L |
5.1826994507511 |
L(r)(E,1)/r! |
Ω |
0.049281026077158 |
Real period |
R |
26.291556118559 |
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 |
2394n5 76608ef5 6384q5 |
Quadratic twists by: -4 8 -3 |