Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36036p |
Isogeny class |
Conductor |
36036 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
-45760863502658304 = -1 · 28 · 38 · 7 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 13- 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82416,13742692] |
[a1,a2,a3,a4,a6] |
j |
-331734634528768/245203529571 |
j-invariant |
L |
3.9636004570486 |
L(r)(E,1)/r! |
Ω |
0.33030003808772 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
12012g2 |
Quadratic twists by: -3 |