Atkin-Lehner |
2- 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792cv |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
1544163063496704 = 221 · 33 · 73 · 433 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -5 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105057,12934431] |
[a1,a2,a3,a4,a6] |
Generators |
[471:8256:1] [-159:5064:1] |
Generators of the group modulo torsion |
j |
489173485343257/5890514616 |
j-invariant |
L |
9.639883897071 |
L(r)(E,1)/r! |
Ω |
0.4780274558066 |
Real period |
R |
0.56016563367585 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792u2 14448l2 |
Quadratic twists by: -4 8 |