Atkin-Lehner |
3+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467b |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.4263468849072E+20 |
Discriminant |
Eigenvalues |
-1 3+ -4 7- 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-589360862,-5506915670630] |
[a1,a2,a3,a4,a6] |
j |
9776604686860471347243/147962546281 |
j-invariant |
L |
0.12256442284761 |
L(r)(E,1)/r! |
Ω |
0.030641091528304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82467f2 1683b2 |
Quadratic twists by: -3 -7 |