Atkin-Lehner |
3+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108537a |
Isogeny class |
Conductor |
108537 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
4.4733297157894E+23 |
Discriminant |
Eigenvalues |
1 3+ 2 2 11- 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1029872989,12720599402878] |
[a1,a2,a3,a4,a6] |
j |
68189672611244300966761393/252507800509796403 |
j-invariant |
L |
1.3175316135746 |
L(r)(E,1)/r! |
Ω |
0.082345798032422 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9867g2 |
Quadratic twists by: -11 |