Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176k |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1810626048 = 29 · 38 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-465699,-122322422] |
[a1,a2,a3,a4,a6] |
Generators |
[-1261788395406:-365589445:3202524424] |
Generators of the group modulo torsion |
j |
29925549856274696/4851 |
j-invariant |
L |
5.7349340309523 |
L(r)(E,1)/r! |
Ω |
0.1827566666933 |
Real period |
R |
15.690081611569 |
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 |
22176i4 44352bp4 7392e3 |
Quadratic twists by: -4 8 -3 |