Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544d |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1953342347264 = 211 · 76 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-345784,78147636] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8918:1] |
Generators of the group modulo torsion |
j |
2232593712947171954/953780443 |
j-invariant |
L |
3.3353789929349 |
L(r)(E,1)/r! |
Ω |
0.67599586181801 |
Real period |
R |
2.4670114014526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41272f2 |
Quadratic twists by: -4 |