Atkin-Lehner |
3- 13- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681k |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1992148712307 = -1 · 37 · 133 · 17 · 293 |
Discriminant |
Eigenvalues |
0 3- 0 -1 3 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-22530,1303407] |
[a1,a2,a3,a4,a6] |
j |
-1734921220096000/2732714283 |
j-invariant |
L |
1.6573000999896 |
L(r)(E,1)/r! |
Ω |
0.82865004978826 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
19227g2 |
Quadratic twists by: -3 |