Atkin-Lehner |
3+ 13+ 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
17043b |
Isogeny class |
Conductor |
17043 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
94208 |
Modular degree for the optimal curve |
Δ |
-53793045077094531 = -1 · 38 · 138 · 19 · 232 |
Discriminant |
Eigenvalues |
0 3+ 1 1 -3 13+ 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,13805,-11146020] |
[a1,a2,a3,a4,a6] |
j |
290938694311706624/53793045077094531 |
j-invariant |
L |
1.3366124979364 |
L(r)(E,1)/r! |
Ω |
0.16707656224205 |
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 |
51129h1 |
Quadratic twists by: -3 |