Atkin-Lehner |
3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17457b |
Isogeny class |
Conductor |
17457 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
278611925926286403 = 35 · 114 · 238 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-654913,202137092] |
[a1,a2,a3,a4,a6] |
j |
209849322390625/1882056627 |
j-invariant |
L |
0.62081271463433 |
L(r)(E,1)/r! |
Ω |
0.31040635731716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52371c2 759a2 |
Quadratic twists by: -3 -23 |