Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846bc |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-1.2068378350946E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 13+ 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-992885,1714486925] |
[a1,a2,a3,a4,a6] |
Generators |
[171:-39452:1] |
Generators of the group modulo torsion |
j |
-148488432493486191625/1655470281336947712 |
j-invariant |
L |
7.7266791198316 |
L(r)(E,1)/r! |
Ω |
0.13080901320871 |
Real period |
R |
1.4767100007672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9282h2 |
Quadratic twists by: -3 |