Atkin-Lehner |
2- 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17028j |
Isogeny class |
Conductor |
17028 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
58885303889808 = 24 · 312 · 115 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 11+ 4 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-521409,-144915383] |
[a1,a2,a3,a4,a6] |
j |
1344038690471072512/5048465697 |
j-invariant |
L |
1.065997710992 |
L(r)(E,1)/r! |
Ω |
0.17766628516533 |
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 |
68112cf1 5676j1 |
Quadratic twists by: -4 -3 |