Atkin-Lehner |
2+ 3- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19470k |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
1703235600 = 24 · 38 · 52 · 11 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ -6 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-554,4556] |
[a1,a2,a3,a4,a6] |
Generators |
[33:-167:1] [-12:103:1] |
Generators of the group modulo torsion |
j |
18755369578009/1703235600 |
j-invariant |
L |
5.8288534893832 |
L(r)(E,1)/r! |
Ω |
1.4550633030409 |
Real period |
R |
0.50073882328697 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
58410bs1 97350bm1 |
Quadratic twists by: -3 5 |