Atkin-Lehner |
2- 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
42944p |
Isogeny class |
Conductor |
42944 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-687104 = -1 · 210 · 11 · 61 |
Discriminant |
Eigenvalues |
2- -1 2 -1 11+ -2 -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-137,-575] |
[a1,a2,a3,a4,a6] |
j |
-279738112/671 |
j-invariant |
L |
0.69720928074902 |
L(r)(E,1)/r! |
Ω |
0.69720928087348 |
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 |
42944i1 10736j1 |
Quadratic twists by: -4 8 |