Atkin-Lehner |
2+ 3- 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bi |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-547924101480000 = -1 · 26 · 34 · 54 · 73 · 793 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 2 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,9099,-1074752] |
[a1,a2,a3,a4,a6] |
Generators |
[731:19542:1] |
Generators of the group modulo torsion |
j |
133319384452775/876678562368 |
j-invariant |
L |
6.1814194865874 |
L(r)(E,1)/r! |
Ω |
0.25908783077219 |
Real period |
R |
0.33136657975847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009878 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bp2 |
Quadratic twists by: 5 |