Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467bj |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-1940630019867 = -1 · 36 · 76 · 113 · 17 |
Discriminant |
Eigenvalues |
-2 3- 4 7- 11- -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,3087,11576] |
[a1,a2,a3,a4,a6] |
Generators |
[15:247:1] |
Generators of the group modulo torsion |
j |
37933056/22627 |
j-invariant |
L |
4.5034953045868 |
L(r)(E,1)/r! |
Ω |
0.50781433768001 |
Real period |
R |
1.478064904722 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001665 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9163c1 1683j1 |
Quadratic twists by: -3 -7 |