Atkin-Lehner |
2- 3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
36036n |
Isogeny class |
Conductor |
36036 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-35591782724289792 = -1 · 28 · 36 · 72 · 116 · 133 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,77505,3662566] |
[a1,a2,a3,a4,a6] |
j |
275895984926000/190713856333 |
j-invariant |
L |
1.3897758332953 |
L(r)(E,1)/r! |
Ω |
0.23162930554815 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
4004b4 |
Quadratic twists by: -3 |