Atkin-Lehner |
2- 3- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352en |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
247313814257664 = 218 · 36 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29676,1816400] |
[a1,a2,a3,a4,a6] |
Generators |
[202:-2016:1] [13:1197:1] |
Generators of the group modulo torsion |
j |
15124197817/1294139 |
j-invariant |
L |
8.4597524981194 |
L(r)(E,1)/r! |
Ω |
0.5412586164738 |
Real period |
R |
1.3024815742168 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352br2 11088by2 4928bh2 |
Quadratic twists by: -4 8 -3 |