Atkin-Lehner |
2+ 3- 11- |
Signs for the Atkin-Lehner involutions |
Class |
69696co |
Isogeny class |
Conductor |
69696 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
126956467224576 = 215 · 37 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-140844,-20337680] |
[a1,a2,a3,a4,a6] |
Generators |
[4290:61105:8] |
Generators of the group modulo torsion |
j |
7301384/3 |
j-invariant |
L |
5.5326072636063 |
L(r)(E,1)/r! |
Ω |
0.24644821469205 |
Real period |
R |
5.612342606811 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001539 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69696cl4 34848cg4 23232ch4 576b3 |
Quadratic twists by: -4 8 -3 -11 |