Atkin-Lehner |
17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28577a |
Isogeny class |
Conductor |
28577 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1372780125649 = 172 · 416 |
Discriminant |
Eigenvalues |
-1 0 -2 -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9561,-352984] |
[a1,a2,a3,a4,a6] |
Generators |
[-7655:4293:125] |
Generators of the group modulo torsion |
j |
20346417/289 |
j-invariant |
L |
1.6822882406725 |
L(r)(E,1)/r! |
Ω |
0.48322653010755 |
Real period |
R |
6.9627312900143 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17a2 |
Quadratic twists by: 41 |