Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110450bd |
Isogeny class |
Conductor |
110450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
690312500 = 22 · 57 · 472 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 3 -4 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-563,-5219] |
[a1,a2,a3,a4,a6] |
Generators |
[95:852:1] |
Generators of the group modulo torsion |
j |
571849/20 |
j-invariant |
L |
18.334282369006 |
L(r)(E,1)/r! |
Ω |
0.98220165477044 |
Real period |
R |
2.3333144250882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029254 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22090k1 110450be1 |
Quadratic twists by: 5 -47 |