Atkin-Lehner |
2- 11+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
4048d |
Isogeny class |
Conductor |
4048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
712448 = 28 · 112 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 -4 11+ 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-119,498] |
[a1,a2,a3,a4,a6] |
j |
727988688/2783 |
j-invariant |
L |
1.43491797182 |
L(r)(E,1)/r! |
Ω |
2.86983594364 |
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 |
1012d2 16192y2 36432cu2 101200bd2 |
Quadratic twists by: -4 8 -3 5 |