Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36120bc |
Isogeny class |
Conductor |
36120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2.6391021170801E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-669200,-809729952] |
[a1,a2,a3,a4,a6] |
j |
-16183118180710605602/128862408060551025 |
j-invariant |
L |
4.707307808575 |
L(r)(E,1)/r! |
Ω |
0.07355168450922 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72240m5 108360k5 |
Quadratic twists by: -4 -3 |