Atkin-Lehner |
2- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
47168f |
Isogeny class |
Conductor |
47168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
12364808192 = 224 · 11 · 67 |
Discriminant |
Eigenvalues |
2- 0 -4 -4 11+ 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-812,7120] |
[a1,a2,a3,a4,a6] |
j |
225866529/47168 |
j-invariant |
L |
1.1977524962358 |
L(r)(E,1)/r! |
Ω |
1.1977524965247 |
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 |
47168e1 11792c1 |
Quadratic twists by: -4 8 |