Atkin-Lehner |
2- 7- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16744i |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4416 |
Modular degree for the optimal curve |
Δ |
283442432 = 28 · 7 · 13 · 233 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -1 13- 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-169,-195] |
[a1,a2,a3,a4,a6] |
j |
2097544192/1107197 |
j-invariant |
L |
2.8086183048967 |
L(r)(E,1)/r! |
Ω |
1.4043091524483 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33488d1 117208m1 |
Quadratic twists by: -4 -7 |