Atkin-Lehner |
2- 3- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
22176l |
Isogeny class |
Conductor |
22176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-234300040128 = -1 · 26 · 36 · 73 · 114 |
Discriminant |
Eigenvalues |
2- 3- -4 7+ 11+ 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,303,23200] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:144:1] |
Generators of the group modulo torsion |
j |
65939264/5021863 |
j-invariant |
L |
3.5776853836596 |
L(r)(E,1)/r! |
Ω |
0.75722312558849 |
Real period |
R |
2.362371976476 |
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 |
22176z1 44352ed1 2464d1 |
Quadratic twists by: -4 8 -3 |