Atkin-Lehner |
2- 3- 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008n |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-1700517888 = -1 · 211 · 36 · 17 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 2 -5 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-651,6694] |
[a1,a2,a3,a4,a6] |
Generators |
[14:18:1] |
Generators of the group modulo torsion |
j |
-20436626/1139 |
j-invariant |
L |
4.794954369237 |
L(r)(E,1)/r! |
Ω |
1.4746713878268 |
Real period |
R |
1.6257704631946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9112a1 |
Quadratic twists by: -3 |