Atkin-Lehner |
2+ 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880bu |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
53504000000 = 214 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 2 11- 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-945,1457] |
[a1,a2,a3,a4,a6] |
j |
5702413264/3265625 |
j-invariant |
L |
5.7553121228384 |
L(r)(E,1)/r! |
Ω |
0.95921868638534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880da1 8360a1 |
Quadratic twists by: -4 8 |