Atkin-Lehner |
2+ 3+ 17+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82008a |
Isogeny class |
Conductor |
82008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
62208 |
Modular degree for the optimal curve |
Δ |
282726844416 = 211 · 33 · 17 · 673 |
Discriminant |
Eigenvalues |
2+ 3+ -1 1 -3 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4083,-97106] |
[a1,a2,a3,a4,a6] |
Generators |
[-254:183:8] |
Generators of the group modulo torsion |
j |
136134479574/5112971 |
j-invariant |
L |
5.2227995531112 |
L(r)(E,1)/r! |
Ω |
0.5986286882257 |
Real period |
R |
4.3623030877652 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005682 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82008k1 |
Quadratic twists by: -3 |