Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64944bb |
Isogeny class |
Conductor |
64944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.3645159219089E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 4 11+ 5 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,993669,1735871402] |
[a1,a2,a3,a4,a6] |
Generators |
[540241:-98131968:2197] |
Generators of the group modulo torsion |
j |
36338036700986567/456973621395456 |
j-invariant |
L |
9.7898168051553 |
L(r)(E,1)/r! |
Ω |
0.11248235919325 |
Real period |
R |
2.7198200443352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997771 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8118o2 21648x2 |
Quadratic twists by: -4 -3 |