Atkin-Lehner |
2+ 3- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
80586g |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
254149288585094628 = 22 · 39 · 119 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 4 2 11+ 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6890670,6963781248] |
[a1,a2,a3,a4,a6] |
j |
21049724100131/147852 |
j-invariant |
L |
4.4548166787143 |
L(r)(E,1)/r! |
Ω |
0.2784260353091 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26862t2 80586ba2 |
Quadratic twists by: -3 -11 |