Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67032bl |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5.4663467230536E+21 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1641843,-3648185730] |
[a1,a2,a3,a4,a6] |
Generators |
[6357823845275:-472412841028856:1076890625] |
Generators of the group modulo torsion |
j |
-206413976268/2305248169 |
j-invariant |
L |
9.1019874478214 |
L(r)(E,1)/r! |
Ω |
0.057667792585682 |
Real period |
R |
19.729356368664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000532 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67032d2 9576o2 |
Quadratic twists by: -3 -7 |