Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984o |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1024209411176448 = 211 · 36 · 79 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8887003792,322460981936372] |
[a1,a2,a3,a4,a6] |
Generators |
[59327:2009490:1] |
Generators of the group modulo torsion |
j |
322159999717985454060440834/4250799 |
j-invariant |
L |
8.3759580734835 |
L(r)(E,1)/r! |
Ω |
0.11328024983394 |
Real period |
R |
6.161678731703 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19992u3 119952bk4 5712g3 |
Quadratic twists by: -4 -3 -7 |