Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120fx |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
5068800 |
Modular degree for the optimal curve |
Δ |
1.9202165667717E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- -7 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13652067,19403922274] |
[a1,a2,a3,a4,a6] |
Generators |
[-847:174240:1] |
Generators of the group modulo torsion |
j |
439632699649/300000 |
j-invariant |
L |
5.665623383986 |
L(r)(E,1)/r! |
Ω |
0.17747588172345 |
Real period |
R |
0.1330139278117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999915536 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890x1 29040cx1 87120fr1 |
Quadratic twists by: -4 -3 -11 |