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 |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-24327236076208263 = -1 · 310 · 112 · 237 |
Discriminant |
Eigenvalues |
-1 3+ 0 2 11+ 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12178,7516934] |
[a1,a2,a3,a4,a6] |
j |
-1349232625/164333367 |
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 |
52371c1 759a1 |
Quadratic twists by: -3 -23 |