Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17856n |
Isogeny class |
Conductor |
17856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-1556364541722624 = -1 · 215 · 313 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 1 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72588,7763024] |
[a1,a2,a3,a4,a6] |
j |
-1770682685192/65152917 |
j-invariant |
L |
1.8914483530833 |
L(r)(E,1)/r! |
Ω |
0.47286208827083 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17856bc1 8928h1 5952a1 |
Quadratic twists by: -4 8 -3 |