Atkin-Lehner |
2- 3- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
20748m |
Isogeny class |
Conductor |
20748 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
633024 |
Modular degree for the optimal curve |
Δ |
10875831915089232 = 24 · 32 · 77 · 136 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5217969,-4589493480] |
[a1,a2,a3,a4,a6] |
j |
981992784253918614863872/679739494693077 |
j-invariant |
L |
2.0977005248091 |
L(r)(E,1)/r! |
Ω |
0.099890501181383 |
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 |
82992bo1 62244x1 |
Quadratic twists by: -4 -3 |