Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
39984di |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
10990718231248896 = 242 · 3 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 1 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-219144,-39235596] |
[a1,a2,a3,a4,a6] |
j |
5799070911693913/54760833024 |
j-invariant |
L |
3.9740840334818 |
L(r)(E,1)/r! |
Ω |
0.22078244630721 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4998f2 119952gx2 39984bj2 |
Quadratic twists by: -4 -3 -7 |