Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5712t |
Isogeny class |
Conductor |
5712 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-1.1996166984654E+22 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5598656,-1328717260] |
[a1,a2,a3,a4,a6] |
j |
4738217997934888496063/2928751705237796928 |
j-invariant |
L |
1.1731267761782 |
L(r)(E,1)/r! |
Ω |
0.073320423511138 |
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 |
714g4 22848bx3 17136y4 39984bv3 |
Quadratic twists by: -4 8 -3 -7 |