Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
5576g |
Isogeny class |
Conductor |
5576 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
224 |
Modular degree for the optimal curve |
Δ |
11152 = 24 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 0 3 0 -4 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,5] |
[a1,a2,a3,a4,a6] |
Generators |
[2:1:1] |
Generators of the group modulo torsion |
j |
4000000/697 |
j-invariant |
L |
4.7700882730998 |
L(r)(E,1)/r! |
Ω |
3.8502413758281 |
Real period |
R |
0.61945314689184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11152d1 44608j1 50184j1 94792r1 |
Quadratic twists by: -4 8 -3 17 |