Atkin-Lehner |
3+ 7- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
13167d |
Isogeny class |
Conductor |
13167 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
1411015221 = 39 · 73 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 11- -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-19116,-1017286] |
[a1,a2,a3,a4,a6] |
j |
39248538107904/71687 |
j-invariant |
L |
2.4361363791061 |
L(r)(E,1)/r! |
Ω |
0.40602272985102 |
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 |
13167b1 92169c2 |
Quadratic twists by: -3 -7 |