Atkin-Lehner |
3- 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
58905bp |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
4508883225 = 39 · 52 · 72 · 11 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11+ 2 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-842,-8616] |
[a1,a2,a3,a4,a6] |
j |
90458382169/6185025 |
j-invariant |
L |
1.7803527403211 |
L(r)(E,1)/r! |
Ω |
0.89017637055305 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635h1 |
Quadratic twists by: -3 |