Atkin-Lehner |
2+ 3+ 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360f |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2.511329184E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-693761,328256961] |
[a1,a2,a3,a4,a6] |
Generators |
[-631:22680:1] |
Generators of the group modulo torsion |
j |
-1126948447816289288/766396845703125 |
j-invariant |
L |
4.7485526397034 |
L(r)(E,1)/r! |
Ω |
0.19580767027591 |
Real period |
R |
3.0313883017109 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999981523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360cn2 43680ci2 |
Quadratic twists by: -4 8 |