Atkin-Lehner |
3- 13- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
57681l |
Isogeny class |
Conductor |
57681 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3503433942333 = 38 · 133 · 172 · 292 |
Discriminant |
Eigenvalues |
-1 3- 2 -2 -6 13- 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105179,13155230] |
[a1,a2,a3,a4,a6] |
Generators |
[180:-266:1] [-1290:41357:8] |
Generators of the group modulo torsion |
j |
176514109056643177/4805807877 |
j-invariant |
L |
6.7196521141153 |
L(r)(E,1)/r! |
Ω |
0.7349593554517 |
Real period |
R |
0.76190745155627 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19227h2 |
Quadratic twists by: -3 |