Atkin-Lehner |
2- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27664k |
Isogeny class |
Conductor |
27664 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-5.619857734358E+19 |
Discriminant |
Eigenvalues |
2- -1 0 7+ -3 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7356648,7691038576] |
[a1,a2,a3,a4,a6] |
Generators |
[1482:-6422:1] |
Generators of the group modulo torsion |
j |
-10749883374191785083625/13720355796772352 |
j-invariant |
L |
3.1266208838307 |
L(r)(E,1)/r! |
Ω |
0.19800468470832 |
Real period |
R |
0.43862891544384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3458c3 110656ba3 |
Quadratic twists by: -4 8 |