Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467bd |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0209297250831E+24 |
Discriminant |
Eigenvalues |
1 3- 2 7- 11- 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-59643936,170515376667] |
[a1,a2,a3,a4,a6] |
Generators |
[13460496290516362:-398414392548273231:4063828597912] |
Generators of the group modulo torsion |
j |
273594167224805799793/11903648120953281 |
j-invariant |
L |
9.159488497407 |
L(r)(E,1)/r! |
Ω |
0.086775269174358 |
Real period |
R |
26.388533810457 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992694 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27489r2 11781h2 |
Quadratic twists by: -3 -7 |