Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120ez |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
-2034864488448000 = -1 · 224 · 36 · 53 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-29667,-2928926] |
[a1,a2,a3,a4,a6] |
j |
-726572699/512000 |
j-invariant |
L |
2.1168248470106 |
L(r)(E,1)/r! |
Ω |
0.17640206930571 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890s1 9680l1 87120fa1 |
Quadratic twists by: -4 -3 -11 |