Atkin-Lehner |
2+ 3+ 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
82800a |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
8329845600000000 = 211 · 39 · 58 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-54675,-2220750] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1250:1] |
Generators of the group modulo torsion |
j |
28697814/13225 |
j-invariant |
L |
6.5079762781509 |
L(r)(E,1)/r! |
Ω |
0.32626991958946 |
Real period |
R |
2.493325268559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985953 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400c2 82800e2 16560f2 |
Quadratic twists by: -4 -3 5 |