Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cw |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2.3686947524344E+20 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2586689,1420635489] |
[a1,a2,a3,a4,a6] |
j |
29206303781127939652/3614341358084709 |
j-invariant |
L |
0.67974280705854 |
L(r)(E,1)/r! |
Ω |
0.16993570181231 |
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 |
49728cg3 12432l3 |
Quadratic twists by: -4 8 |