Atkin-Lehner |
2- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880ch |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-7121382400 = -1 · 210 · 52 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,472,952] |
[a1,a2,a3,a4,a6] |
Generators |
[9:77:1] |
Generators of the group modulo torsion |
j |
11356637184/6954475 |
j-invariant |
L |
4.9664888997389 |
L(r)(E,1)/r! |
Ω |
0.81724034617286 |
Real period |
R |
1.519286499632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880c1 16720m1 |
Quadratic twists by: -4 8 |