Atkin-Lehner |
2- 3- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
81168ce |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
21570605088768 = 216 · 37 · 19 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11952,-454572] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:96:1] |
Generators of the group modulo torsion |
j |
46102221567793/5266261008 |
j-invariant |
L |
8.9426133604121 |
L(r)(E,1)/r! |
Ω |
0.45999709974117 |
Real period |
R |
1.3886133137882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10146j1 |
Quadratic twists by: -4 |