Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120dr |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-586702701066240000 = -1 · 214 · 316 · 54 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-166683,45212618] |
[a1,a2,a3,a4,a6] |
Generators |
[223:-4374:1] |
Generators of the group modulo torsion |
j |
-128864147651/147622500 |
j-invariant |
L |
6.9648304390705 |
L(r)(E,1)/r! |
Ω |
0.26318383247988 |
Real period |
R |
1.6539842081158 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928504 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890bl2 29040cj2 87120dt2 |
Quadratic twists by: -4 -3 -11 |