Atkin-Lehner |
2- 3+ 5+ 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bu |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
526007137420800 = 29 · 35 · 52 · 73 · 793 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 7 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-85953,-9672129] |
[a1,a2,a3,a4,a6] |
Generators |
[-159:158:1] |
Generators of the group modulo torsion |
j |
2809099596628914745/21040285496832 |
j-invariant |
L |
8.487359291289 |
L(r)(E,1)/r! |
Ω |
0.27895257432244 |
Real period |
R |
1.1268820198898 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000387 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950bl2 |
Quadratic twists by: 5 |