Atkin-Lehner |
2- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66424h |
Isogeny class |
Conductor |
66424 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2299982041264384 = 28 · 198 · 232 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54511,4321170] |
[a1,a2,a3,a4,a6] |
Generators |
[-243:1794:1] |
Generators of the group modulo torsion |
j |
1487354832/190969 |
j-invariant |
L |
3.1244629326576 |
L(r)(E,1)/r! |
Ω |
0.44410944607535 |
Real period |
R |
3.5176722313845 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3496d2 |
Quadratic twists by: -19 |