Atkin-Lehner |
5- 37+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
16465b |
Isogeny class |
Conductor |
16465 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2256 |
Modular degree for the optimal curve |
Δ |
-411625 = -1 · 53 · 37 · 89 |
Discriminant |
Eigenvalues |
-1 0 5- 2 -4 -4 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-82,306] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:26:1] [6:-6:1] |
Generators of the group modulo torsion |
j |
-60282398961/411625 |
j-invariant |
L |
4.8571514148907 |
L(r)(E,1)/r! |
Ω |
3.0062991767651 |
Real period |
R |
0.53855267770525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82325b1 |
Quadratic twists by: 5 |