Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
81120t |
Isogeny class |
Conductor |
81120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
625554446400 = 26 · 34 · 52 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5126,-137760] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:66:1] [-38:60:1] |
Generators of the group modulo torsion |
j |
48228544/2025 |
j-invariant |
L |
11.1092459107 |
L(r)(E,1)/r! |
Ω |
0.56568184622292 |
Real period |
R |
4.909670508661 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999622 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
81120e1 480h1 |
Quadratic twists by: -4 13 |