Atkin-Lehner |
2- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
54208cc |
Isogeny class |
Conductor |
54208 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-444071936 = -1 · 219 · 7 · 112 |
Discriminant |
Eigenvalues |
2- -1 -2 7+ 11- -7 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,191,-31] |
[a1,a2,a3,a4,a6] |
Generators |
[5:32:1] |
Generators of the group modulo torsion |
j |
24167/14 |
j-invariant |
L |
2.1869355884851 |
L(r)(E,1)/r! |
Ω |
1.0020639596079 |
Real period |
R |
0.54560778469711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54208bh1 13552p1 54208cw1 |
Quadratic twists by: -4 8 -11 |