Atkin-Lehner |
3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
111909d |
Isogeny class |
Conductor |
111909 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3.0544468373467E+24 |
Discriminant |
Eigenvalues |
1 3+ 4 7- -4 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-786138,84086239545] |
[a1,a2,a3,a4,a6] |
j |
-912673/51883209 |
j-invariant |
L |
4.5950499522618 |
L(r)(E,1)/r! |
Ω |
0.06382014178825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111909b2 |
Quadratic twists by: 73 |