Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032p |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2607919969263616 = 213 · 712 · 23 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 -4 8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-186739,30962610] |
[a1,a2,a3,a4,a6] |
Generators |
[63:4410:1] |
Generators of the group modulo torsion |
j |
1494447319737/5411854 |
j-invariant |
L |
5.758621476662 |
L(r)(E,1)/r! |
Ω |
0.45794892341178 |
Real period |
R |
3.1437029231117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254b2 72128bc2 2576j2 |
Quadratic twists by: -4 8 -7 |