Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bd |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.6314794921875E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47181675,14477328250] |
[a1,a2,a3,a4,a6] |
Generators |
[-1695:299300:1] |
Generators of the group modulo torsion |
j |
497927680189263938/284271240234375 |
j-invariant |
L |
6.3145554155451 |
L(r)(E,1)/r! |
Ω |
0.064307499136615 |
Real period |
R |
6.1370713935145 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400bi3 27600s3 16560q4 |
Quadratic twists by: -4 -3 5 |