Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
57792cy |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
2557598367744 = 217 · 33 · 75 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -6 5 -3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3617,31839] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:147:1] [-41:336:1] |
Generators of the group modulo torsion |
j |
39937362194/19512927 |
j-invariant |
L |
10.227995860139 |
L(r)(E,1)/r! |
Ω |
0.7215241058076 |
Real period |
R |
0.23625904706021 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792n1 14448f1 |
Quadratic twists by: -4 8 |