Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8550x |
Isogeny class |
Conductor |
8550 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
92520351562500 = 22 · 38 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11480,102647] |
[a1,a2,a3,a4,a6] |
Generators |
[105:163:1] |
Generators of the group modulo torsion |
j |
14688124849/8122500 |
j-invariant |
L |
6.2175318725557 |
L(r)(E,1)/r! |
Ω |
0.52254213611726 |
Real period |
R |
2.9746557467858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68400fa2 2850i2 1710h2 |
Quadratic twists by: -4 -3 5 |