Atkin-Lehner |
2- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
42944ba |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
87949312 = 217 · 11 · 61 |
Discriminant |
Eigenvalues |
2- 1 -2 4 11- -1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-129,-385] |
[a1,a2,a3,a4,a6] |
j |
1825346/671 |
j-invariant |
L |
2.9188311454336 |
L(r)(E,1)/r! |
Ω |
1.4594155726992 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944h1 10736b1 |
Quadratic twists by: -4 8 |