Atkin-Lehner |
2- 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664cs |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-1.6133032117887E+22 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20919297,37337764257] |
[a1,a2,a3,a4,a6] |
Generators |
[11861:1207360:1] |
Generators of the group modulo torsion |
j |
-3862113817658457666817/61542633506345208 |
j-invariant |
L |
6.2157898806491 |
L(r)(E,1)/r! |
Ω |
0.12413011330977 |
Real period |
R |
3.1296746388288 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664bt5 10416bl6 124992gd5 |
Quadratic twists by: -4 8 -3 |