Atkin-Lehner |
2+ 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
81344g |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
10328735744 = 218 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 2 4 4 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716,-5520] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:35:1] |
Generators of the group modulo torsion |
j |
154854153/39401 |
j-invariant |
L |
6.055437620166 |
L(r)(E,1)/r! |
Ω |
0.94023766256844 |
Real period |
R |
3.2201632964064 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972956 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344h1 1271a1 |
Quadratic twists by: -4 8 |