Atkin-Lehner |
2+ 3- 5- 29+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40890q |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-1111352986828800 = -1 · 227 · 35 · 52 · 29 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -3 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-65743,-6688894] |
[a1,a2,a3,a4,a6] |
j |
-31424094354327039721/1111352986828800 |
j-invariant |
L |
1.4876691992249 |
L(r)(E,1)/r! |
Ω |
0.14876691992923 |
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 |
122670bt1 |
Quadratic twists by: -3 |