Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450k |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
11385103202000 = 24 · 53 · 112 · 196 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 11+ -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-50912,-4405904] |
[a1,a2,a3,a4,a6] |
Generators |
[-132:104:1] |
Generators of the group modulo torsion |
j |
116755936401534093/91080825616 |
j-invariant |
L |
2.6482235520884 |
L(r)(E,1)/r! |
Ω |
0.31784431855706 |
Real period |
R |
0.69431883196536 |
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 |
83600cr2 94050ef2 10450bc2 114950dg2 |
Quadratic twists by: -4 -3 5 -11 |