Atkin-Lehner |
5+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
17885c |
Isogeny class |
Conductor |
17885 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
52603809125 = 53 · 78 · 73 |
Discriminant |
Eigenvalues |
-2 2 5+ 7+ -4 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1486,19592] |
[a1,a2,a3,a4,a6] |
Generators |
[33:73:1] |
Generators of the group modulo torsion |
j |
62992384/9125 |
j-invariant |
L |
3.1837641101976 |
L(r)(E,1)/r! |
Ω |
1.0774684073892 |
Real period |
R |
0.984952037685 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89425d1 17885w1 |
Quadratic twists by: 5 -7 |