Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160cw |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
-1.4427757406732E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40307681,586226984319] |
[a1,a2,a3,a4,a6] |
Generators |
[32809:-5880600:1] |
Generators of the group modulo torsion |
j |
-15595206456730321/310672490129100 |
j-invariant |
L |
7.9490325601417 |
L(r)(E,1)/r! |
Ω |
0.048811687737572 |
Real period |
R |
1.6963646626014 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000036415 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160fc5 3630d6 10560q6 |
Quadratic twists by: -4 8 -11 |