Atkin-Lehner |
2+ 11- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19448b |
Isogeny class |
Conductor |
19448 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
19038318700544 = 211 · 114 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 11- 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-94424,-11134516] |
[a1,a2,a3,a4,a6] |
Generators |
[-4785:1196:27] |
Generators of the group modulo torsion |
j |
45461686372934834/9296054053 |
j-invariant |
L |
7.0268868040875 |
L(r)(E,1)/r! |
Ω |
0.27235409019047 |
Real period |
R |
4.3000925738336 |
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 |
38896a2 |
Quadratic twists by: -4 |