Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
41280dn |
Isogeny class |
Conductor |
41280 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
2.3520349636264E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1565025,716025375] |
[a1,a2,a3,a4,a6] |
Generators |
[855:1920:1] |
Generators of the group modulo torsion |
j |
1617141066657115609/89723013444000 |
j-invariant |
L |
8.4880501641788 |
L(r)(E,1)/r! |
Ω |
0.21032373201135 |
Real period |
R |
1.6815446999661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41280o3 10320o4 123840fb3 |
Quadratic twists by: -4 8 -3 |