Atkin-Lehner |
3- 11- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8151f |
Isogeny class |
Conductor |
8151 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
22146267 = 3 · 112 · 132 · 192 |
Discriminant |
Eigenvalues |
-1 3- 0 4 11- 13+ 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-5773,168350] |
[a1,a2,a3,a4,a6] |
Generators |
[73:334:1] |
Generators of the group modulo torsion |
j |
21278111797932625/22146267 |
j-invariant |
L |
3.7986825350414 |
L(r)(E,1)/r! |
Ω |
1.8029689162305 |
Real period |
R |
1.0534520314924 |
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 |
24453a2 89661n2 105963q2 |
Quadratic twists by: -3 -11 13 |