Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467be |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-346570860324843 = -1 · 38 · 710 · 11 · 17 |
Discriminant |
Eigenvalues |
1 3- -4 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-22059,1552284] |
[a1,a2,a3,a4,a6] |
Generators |
[4:1208:1] |
Generators of the group modulo torsion |
j |
-5764801/1683 |
j-invariant |
L |
5.2317983281601 |
L(r)(E,1)/r! |
Ω |
0.51129596497356 |
Real period |
R |
5.1162131975991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489s1 82467k1 |
Quadratic twists by: -3 -7 |