Atkin-Lehner |
2+ 11+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
42944h |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
4 |
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] |
Generators |
[-8:29:1] [1:16:1] |
Generators of the group modulo torsion |
j |
1825346/671 |
j-invariant |
L |
5.8077353685018 |
L(r)(E,1)/r! |
Ω |
1.7491807317559 |
Real period |
R |
0.83006507890578 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42944ba1 5368c1 |
Quadratic twists by: -4 8 |