Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bf |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4318096873972E+21 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 2 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7596230,-7848092478] |
[a1,a2,a3,a4,a6] |
Generators |
[-475678:-1210770:343] |
Generators of the group modulo torsion |
j |
90458382169/2671875 |
j-invariant |
L |
4.3731881813543 |
L(r)(E,1)/r! |
Ω |
0.091103383917146 |
Real period |
R |
6.0003097471681 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002767 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27075e2 16245k2 4275f2 |
Quadratic twists by: -3 5 -19 |