Atkin-Lehner |
2+ 5+ 31+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72850b |
Isogeny class |
Conductor |
72850 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.4373346543403E+28 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 -4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1051308167,-6802499314259] |
[a1,a2,a3,a4,a6] |
j |
8224202609626715649558434241/3479894178777812844098000 |
j-invariant |
L |
0.22029752293681 |
L(r)(E,1)/r! |
Ω |
0.027537190288779 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14570j3 |
Quadratic twists by: 5 |