Atkin-Lehner |
2- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
48884a |
Isogeny class |
Conductor |
48884 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16800 |
Modular degree for the optimal curve |
Δ |
45805481216 = 28 · 116 · 101 |
Discriminant |
Eigenvalues |
2- 0 -1 2 11- 3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-968,-5324] |
[a1,a2,a3,a4,a6] |
Generators |
[253:3993:1] |
Generators of the group modulo torsion |
j |
221184/101 |
j-invariant |
L |
5.7148487132156 |
L(r)(E,1)/r! |
Ω |
0.89378334780884 |
Real period |
R |
3.1969988740734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
404a1 |
Quadratic twists by: -11 |