Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
4998bl |
Isogeny class |
Conductor |
4998 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
734844124728 = 23 · 38 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-248872,-47807992] |
[a1,a2,a3,a4,a6] |
j |
14489843500598257/6246072 |
j-invariant |
L |
5.1299931954767 |
L(r)(E,1)/r! |
Ω |
0.2137497164782 |
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 |
39984bs4 14994bg4 124950t4 714f4 |
Quadratic twists by: -4 -3 5 -7 |