Atkin-Lehner |
2- 3- 5- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
60720cy |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
-5.1116876198784E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1778400,3558322548] |
[a1,a2,a3,a4,a6] |
Generators |
[5316:379950:1] |
Generators of the group modulo torsion |
j |
-151863133743301125601/1247970610321875000 |
j-invariant |
L |
8.9657159908349 |
L(r)(E,1)/r! |
Ω |
0.11677507539211 |
Real period |
R |
4.7986031912425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998757 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
7590t6 |
Quadratic twists by: -4 |