Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
8400cf |
Isogeny class |
Conductor |
8400 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.18125E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1743008,869567988] |
[a1,a2,a3,a4,a6] |
j |
9150443179640281/184570312500 |
j-invariant |
L |
2.7125300609339 |
L(r)(E,1)/r! |
Ω |
0.22604417174449 |
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 |
1050k4 33600ey5 25200eg5 1680m4 |
Quadratic twists by: -4 8 -3 5 |