Atkin-Lehner |
2- 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
36540r |
Isogeny class |
Conductor |
36540 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
97132269026016000 = 28 · 36 · 53 · 7 · 296 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-115167,-1206074] |
[a1,a2,a3,a4,a6] |
j |
905191319325904/520470405875 |
j-invariant |
L |
3.3813481436958 |
L(r)(E,1)/r! |
Ω |
0.28177901197312 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4060c4 |
Quadratic twists by: -3 |