Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
55488dm |
Isogeny class |
Conductor |
55488 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-29091692544 = -1 · 225 · 3 · 172 |
Discriminant |
Eigenvalues |
2- 3- -1 4 3 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,159,8223] |
[a1,a2,a3,a4,a6] |
Generators |
[-339:1792:27] |
Generators of the group modulo torsion |
j |
5831/384 |
j-invariant |
L |
8.5508256695707 |
L(r)(E,1)/r! |
Ω |
0.89923168650792 |
Real period |
R |
2.3772587748713 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999973 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55488g1 13872u1 55488dd1 |
Quadratic twists by: -4 8 17 |