Atkin-Lehner |
3+ 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467f |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
3456000 |
Modular degree for the optimal curve |
Δ |
2.9493168412451E+19 |
Discriminant |
Eigenvalues |
1 3+ 4 7- 11- 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4096605,3181732448] |
[a1,a2,a3,a4,a6] |
j |
2393558463315519963/9284733153971 |
j-invariant |
L |
5.0505727922605 |
L(r)(E,1)/r! |
Ω |
0.21044053428011 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82467b1 1683c1 |
Quadratic twists by: -3 -7 |