Atkin-Lehner |
2- 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792di |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
721423106050752 = 26 · 310 · 74 · 433 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-102040,12445274] |
[a1,a2,a3,a4,a6] |
Generators |
[257:-1806:1] |
Generators of the group modulo torsion |
j |
1835943635853411904/11272236032043 |
j-invariant |
L |
5.1864536713446 |
L(r)(E,1)/r! |
Ω |
0.5101863981067 |
Real period |
R |
0.33886005134092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993605 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57792ce1 28896m2 |
Quadratic twists by: -4 8 |