Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800dp |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.9551761899769E+27 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 0 -2 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1873081875,-31569176168750] |
[a1,a2,a3,a4,a6] |
Generators |
[1618294719525363450573331079100547252298967867387360634708173347:-598820882704157782023633218537468940942051738681981182476296388608:10735736869473769526094182557025004817191359527741442594107] |
Generators of the group modulo torsion |
j |
-24923353462910020825/341398360424448 |
j-invariant |
L |
8.4304476323594 |
L(r)(E,1)/r! |
Ω |
0.011465064114588 |
Real period |
R |
91.914527778705 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10350u2 27600dc2 82800fx2 |
Quadratic twists by: -4 -3 5 |