Atkin-Lehner |
2- 3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bp |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-8561314085625000000 = -1 · 26 · 34 · 510 · 73 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,227487,-134343969] |
[a1,a2,a3,a4,a6] |
Generators |
[811:23768:1] |
Generators of the group modulo torsion |
j |
133319384452775/876678562368 |
j-invariant |
L |
8.9651789049612 |
L(r)(E,1)/r! |
Ω |
0.11586760034992 |
Real period |
R |
2.1492871743094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bi2 |
Quadratic twists by: 5 |