Atkin-Lehner |
2- 31+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
20584c |
Isogeny class |
Conductor |
20584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
4537701632 = 28 · 31 · 833 |
Discriminant |
Eigenvalues |
2- 2 0 -1 -2 -5 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-993,-11275] |
[a1,a2,a3,a4,a6] |
j |
423417472000/17725397 |
j-invariant |
L |
1.7052056285819 |
L(r)(E,1)/r! |
Ω |
0.85260281429094 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41168c1 |
Quadratic twists by: -4 |