Atkin-Lehner |
2- 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
16728d |
Isogeny class |
Conductor |
16728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-80589883392 = -1 · 211 · 34 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 4 4 0 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2048,-37524] |
[a1,a2,a3,a4,a6] |
j |
-464082997250/39350529 |
j-invariant |
L |
2.8249434405385 |
L(r)(E,1)/r! |
Ω |
0.35311793006731 |
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 |
33456f2 50184m2 |
Quadratic twists by: -4 -3 |