Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800bi |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
333193824000000 = 211 · 39 · 56 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-257475,-50278750] |
[a1,a2,a3,a4,a6] |
Generators |
[1090:31050:1] |
Generators of the group modulo torsion |
j |
80919167474/14283 |
j-invariant |
L |
7.2305595550523 |
L(r)(E,1)/r! |
Ω |
0.21194363956696 |
Real period |
R |
2.1322176644237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000097 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41400g2 27600c2 3312a2 |
Quadratic twists by: -4 -3 5 |