Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544bg |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
44491216 = 24 · 73 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 11- -1 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1001,11858] |
[a1,a2,a3,a4,a6] |
Generators |
[154:-77:8] [-22:154:1] |
Generators of the group modulo torsion |
j |
6939684880384/2780701 |
j-invariant |
L |
12.277456227692 |
L(r)(E,1)/r! |
Ω |
1.9896711366468 |
Real period |
R |
1.028432622316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20636a1 |
Quadratic twists by: -4 |