Atkin-Lehner |
17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
28577a |
Isogeny class |
Conductor |
28577 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
80751772097 = 17 · 416 |
Discriminant |
Eigenvalues |
-1 0 -2 -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1156,6750] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-1:1] |
Generators of the group modulo torsion |
j |
35937/17 |
j-invariant |
L |
1.6822882406725 |
L(r)(E,1)/r! |
Ω |
0.9664530602151 |
Real period |
R |
3.4813656450072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17a4 |
Quadratic twists by: 41 |