Atkin-Lehner |
2- 3- 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
52668w |
Isogeny class |
Conductor |
52668 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
Δ |
-4.9691887169812E+23 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11+ 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-582682719,5413832850886] |
[a1,a2,a3,a4,a6] |
Generators |
[8147:1098846:1] |
Generators of the group modulo torsion |
j |
-117233743448665865746904272/2662673995296005229 |
j-invariant |
L |
4.3970344856356 |
L(r)(E,1)/r! |
Ω |
0.086076136793099 |
Real period |
R |
1.4189745424559 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17556n2 |
Quadratic twists by: -3 |