Atkin-Lehner |
2- 3- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57528h |
Isogeny class |
Conductor |
57528 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
567671576832 = 28 · 310 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- -4 4 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3567,-73550] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:18:1] |
Generators of the group modulo torsion |
j |
26894628304/3041793 |
j-invariant |
L |
4.5804516734538 |
L(r)(E,1)/r! |
Ω |
0.62231172955332 |
Real period |
R |
1.8400953477394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997271 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115056i1 19176c1 |
Quadratic twists by: -4 -3 |