Atkin-Lehner |
2- 3- 13+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
22776g |
Isogeny class |
Conductor |
22776 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-6224954112 = -1 · 28 · 33 · 132 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 0 0 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-172,-3952] |
[a1,a2,a3,a4,a6] |
Generators |
[32:156:1] |
Generators of the group modulo torsion |
j |
-2211014608/24316227 |
j-invariant |
L |
7.2913566204441 |
L(r)(E,1)/r! |
Ω |
0.57023935228321 |
Real period |
R |
1.0655403722504 |
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 |
45552b2 68328c2 |
Quadratic twists by: -4 -3 |