Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550x |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
507238769531250 = 2 · 37 · 514 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-139730,20109647] |
[a1,a2,a3,a4,a6] |
Generators |
[1790:-121:8] |
Generators of the group modulo torsion |
j |
26487576322129/44531250 |
j-invariant |
L |
6.2175318725557 |
L(r)(E,1)/r! |
Ω |
0.52254213611726 |
Real period |
R |
5.9493114935716 |
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 |
68400fa4 2850i3 1710h3 |
Quadratic twists by: -4 -3 5 |