Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158g |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36237132 = 22 · 36 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -4 0 2 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-8259,290969] |
[a1,a2,a3,a4,a6] |
Generators |
[40:133:1] |
Generators of the group modulo torsion |
j |
85468909049649/49708 |
j-invariant |
L |
2.5906913123577 |
L(r)(E,1)/r! |
Ω |
1.694946160823 |
Real period |
R |
0.38212000065829 |
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 |
105264cb2 1462b2 |
Quadratic twists by: -4 -3 |