Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120fa |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
4561920 |
Modular degree for the optimal curve |
Δ |
-3.6048865680194E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3589707,3898400506] |
[a1,a2,a3,a4,a6] |
j |
-726572699/512000 |
j-invariant |
L |
1.5514861602736 |
L(r)(E,1)/r! |
Ω |
0.12929051283767 |
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 |
10890bw1 9680m1 87120ez1 |
Quadratic twists by: -4 -3 -11 |