Atkin-Lehner |
3+ 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
44649a |
Isogeny class |
Conductor |
44649 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.3114776257515E+20 |
Discriminant |
Eigenvalues |
-1 3+ 0 0 11+ 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1066880,-695065940] |
[a1,a2,a3,a4,a6] |
Generators |
[116518086243416701:315951712672293548:91374302003921] |
Generators of the group modulo torsion |
j |
-2893640625/2825761 |
j-invariant |
L |
3.6137058626786 |
L(r)(E,1)/r! |
Ω |
0.071441464064004 |
Real period |
R |
25.291376023958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999694 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44649c2 44649d2 |
Quadratic twists by: -3 -11 |