Atkin-Lehner |
2- 3+ 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
72240bz |
Isogeny class |
Conductor |
72240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.1632429680659E+24 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-83992760,291734367600] |
[a1,a2,a3,a4,a6] |
j |
15998870626478265338762041/283994865250467840000 |
j-invariant |
L |
2.7779656059176 |
L(r)(E,1)/r! |
Ω |
0.086811425200287 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030m2 |
Quadratic twists by: -4 |