Atkin-Lehner |
2+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
50864i |
Isogeny class |
Conductor |
50864 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
-202558352128 = -1 · 28 · 115 · 173 |
Discriminant |
Eigenvalues |
2+ 2 0 3 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,567,-21211] |
[a1,a2,a3,a4,a6] |
Generators |
[535240:17301699:512] |
Generators of the group modulo torsion |
j |
16000000/161051 |
j-invariant |
L |
9.6119267605951 |
L(r)(E,1)/r! |
Ω |
0.49495903928353 |
Real period |
R |
9.7098204070694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25432n1 50864t1 |
Quadratic twists by: -4 17 |