Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120eo |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1728000 |
Modular degree for the optimal curve |
Δ |
-5818838081126400000 = -1 · 217 · 36 · 55 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 11- 6 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,173877,112653178] |
[a1,a2,a3,a4,a6] |
j |
109902239/1100000 |
j-invariant |
L |
2.8192586132292 |
L(r)(E,1)/r! |
Ω |
0.17620366387379 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890bu1 9680y1 7920bd1 |
Quadratic twists by: -4 -3 -11 |