Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
22560i |
Isogeny class |
Conductor |
22560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
286286400 = 26 · 34 · 52 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-706,-6944] |
[a1,a2,a3,a4,a6] |
j |
608937674176/4473225 |
j-invariant |
L |
0.92648724309862 |
L(r)(E,1)/r! |
Ω |
0.92648724309862 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22560d1 45120bd2 67680m1 112800x1 |
Quadratic twists by: -4 8 -3 5 |