Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792df |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
4894284176474112 = 214 · 310 · 76 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 2 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-112049,-14075985] |
[a1,a2,a3,a4,a6] |
Generators |
[-203:588:1] |
Generators of the group modulo torsion |
j |
9495800976618448/298723399443 |
j-invariant |
L |
6.9949980518295 |
L(r)(E,1)/r! |
Ω |
0.26144708266309 |
Real period |
R |
0.89183095619472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000082 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792g2 14448t2 |
Quadratic twists by: -4 8 |