Atkin-Lehner |
3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
47961g |
Isogeny class |
Conductor |
47961 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.4286198589876E+20 |
Discriminant |
Eigenvalues |
-1 3- -4 -2 -4 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62230397,188966888970] |
[a1,a2,a3,a4,a6] |
j |
241583200934041/1294947 |
j-invariant |
L |
0.32584650722737 |
L(r)(E,1)/r! |
Ω |
0.16292325356649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15987c2 657a2 |
Quadratic twists by: -3 73 |