Atkin-Lehner |
2+ 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992y |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
672 |
Product of Tamagawa factors cp |
Δ |
-16074256208145408 = -1 · 210 · 37 · 76 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -6 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,18416,6029732] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:756:1] [488:11466:1] |
Generators of the group modulo torsion |
j |
674506426216892/15697515828267 |
j-invariant |
L |
11.578100178322 |
L(r)(E,1)/r! |
Ω |
0.2936268603346 |
Real period |
R |
0.23471034935149 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997227 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41496e2 |
Quadratic twists by: -4 |