Atkin-Lehner |
3- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467k |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-2945803707 = -1 · 38 · 74 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3- 4 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-4397] |
[a1,a2,a3,a4,a6] |
Generators |
[114:1133:1] |
Generators of the group modulo torsion |
j |
-5764801/1683 |
j-invariant |
L |
10.852565713408 |
L(r)(E,1)/r! |
Ω |
0.51053326359437 |
Real period |
R |
3.5428856075539 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002591 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489c1 82467be1 |
Quadratic twists by: -3 -7 |