Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120cy |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4463313300864000000 = 213 · 39 · 56 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-421443,-27527742] |
[a1,a2,a3,a4,a6] |
Generators |
[1257:37800:1] |
Generators of the group modulo torsion |
j |
57960603/31250 |
j-invariant |
L |
6.6235410943659 |
L(r)(E,1)/r! |
Ω |
0.19955499488964 |
Real period |
R |
4.1489446882339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008912 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890c4 87120dl2 720f4 |
Quadratic twists by: -4 -3 -11 |