Atkin-Lehner |
2+ 3- 5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
81840bd |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-2.7987203780547E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1955040,-1325375100] |
[a1,a2,a3,a4,a6] |
j |
-807032305753140666244/273312536919406875 |
j-invariant |
L |
4.0168261050413 |
L(r)(E,1)/r! |
Ω |
0.062762908572209 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40920m3 |
Quadratic twists by: -4 |