Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fy |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1875211490988000000 = 28 · 37 · 56 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11- -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-272246007,1728981679106] |
[a1,a2,a3,a4,a6] |
Generators |
[4202:811910:1] |
Generators of the group modulo torsion |
j |
6749703004355978704/5671875 |
j-invariant |
L |
7.812778950033 |
L(r)(E,1)/r! |
Ω |
0.16447587444508 |
Real period |
R |
3.9584219548216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780x4 29040ce4 7920bl4 |
Quadratic twists by: -4 -3 -11 |