Atkin-Lehner |
2- 3+ 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
57792cf |
Isogeny class |
Conductor |
57792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
371170738176 = 223 · 3 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 0 1 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2401,35329] |
[a1,a2,a3,a4,a6] |
Generators |
[45:128:1] |
Generators of the group modulo torsion |
j |
5841725401/1415904 |
j-invariant |
L |
3.6476800776924 |
L(r)(E,1)/r! |
Ω |
0.89559255474538 |
Real period |
R |
1.0182309070816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000032 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57792bn1 14448w1 |
Quadratic twists by: -4 8 |