Atkin-Lehner |
2- 3- 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770bb |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
86533200 = 24 · 32 · 52 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-27736,-1780240] |
[a1,a2,a3,a4,a6] |
Generators |
[194:290:1] |
Generators of the group modulo torsion |
j |
2359696653948924289/86533200 |
j-invariant |
L |
8.0527744526427 |
L(r)(E,1)/r! |
Ω |
0.36994615417872 |
Real period |
R |
2.7209278842619 |
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 |
50310s2 83850f2 |
Quadratic twists by: -3 5 |