Atkin-Lehner |
2- 7- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544z |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
109866064 = 24 · 7 · 114 · 67 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11+ -1 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197,-1006] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:8:1] |
Generators of the group modulo torsion |
j |
53113520128/6866629 |
j-invariant |
L |
6.1259820561356 |
L(r)(E,1)/r! |
Ω |
1.2846468045629 |
Real period |
R |
2.3843059557661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002914 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20636c1 |
Quadratic twists by: -4 |