Atkin-Lehner |
2- 3- 5- 29+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
40890bf |
Isogeny class |
Conductor |
40890 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
373603752000 = 26 · 36 · 53 · 29 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-55180,4984400] |
[a1,a2,a3,a4,a6] |
j |
18581008947694038721/373603752000 |
j-invariant |
L |
5.2716128806321 |
L(r)(E,1)/r! |
Ω |
0.87860214677211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
122670s1 |
Quadratic twists by: -3 |