Atkin-Lehner |
2+ 3+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856c |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-319906381824 = -1 · 219 · 39 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ -1 0 -3 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-108,-27216] |
[a1,a2,a3,a4,a6] |
Generators |
[45:243:1] |
Generators of the group modulo torsion |
j |
-27/62 |
j-invariant |
L |
4.4533956125606 |
L(r)(E,1)/r! |
Ω |
0.43741018145001 |
Real period |
R |
2.5453200459335 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bp1 558e1 17856a1 |
Quadratic twists by: -4 8 -3 |