Atkin-Lehner |
2+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
81344a |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1707573248 = 215 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ -2 2 2 2 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1377,-20033] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:8:1] |
Generators of the group modulo torsion |
j |
8818423496/52111 |
j-invariant |
L |
6.1138315125622 |
L(r)(E,1)/r! |
Ω |
0.78396080978541 |
Real period |
R |
0.9748305399948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999975526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81344f2 40672a2 |
Quadratic twists by: -4 8 |