Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
82810bt |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1645883846653032350 = 2 · 52 · 79 · 138 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-539818,139757531] |
[a1,a2,a3,a4,a6] |
Generators |
[735875338:-4672031131:2406104] |
Generators of the group modulo torsion |
j |
89314623/8450 |
j-invariant |
L |
9.5780655205886 |
L(r)(E,1)/r! |
Ω |
0.25919949889483 |
Real period |
R |
9.2381211744124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004217 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82810ci2 6370f2 |
Quadratic twists by: -7 13 |