Atkin-Lehner |
2- 5- 13- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82160r |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-1025521120000 = -1 · 28 · 54 · 13 · 793 |
Discriminant |
Eigenvalues |
2- 0 5- -3 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1408,-44276] |
[a1,a2,a3,a4,a6] |
Generators |
[30:158:1] |
Generators of the group modulo torsion |
j |
1205845622784/4005941875 |
j-invariant |
L |
5.3264880447573 |
L(r)(E,1)/r! |
Ω |
0.44718638638039 |
Real period |
R |
0.49629641820191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001606 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20540b1 |
Quadratic twists by: -4 |