Atkin-Lehner |
17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
11849a |
Isogeny class |
Conductor |
11849 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-19918169 = -1 · 172 · 413 |
Discriminant |
Eigenvalues |
-1 3 -1 -1 3 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-63,-272] |
[a1,a2,a3,a4,a6] |
j |
-94268961/68921 |
j-invariant |
L |
2.4661752311994 |
L(r)(E,1)/r! |
Ω |
0.8220584103998 |
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 |
106641b1 11849b1 |
Quadratic twists by: -3 17 |