Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bg |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.856626116686E+22 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-487960880,-4148685921378] |
[a1,a2,a3,a4,a6] |
Generators |
[-1960338094376:1171481145735:153990656] |
Generators of the group modulo torsion |
j |
23977812996389881/146611125 |
j-invariant |
L |
2.1933251584826 |
L(r)(E,1)/r! |
Ω |
0.032122065446869 |
Real period |
R |
17.070237593725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000805 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27075f4 16245c3 4275g4 |
Quadratic twists by: -3 5 -19 |