Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
66240ee |
Isogeny class |
Conductor |
66240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6.47728793856E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4866348,-4113745328] |
[a1,a2,a3,a4,a6] |
Generators |
[-4332236351926582:-8193233784780000:3565449058933] |
Generators of the group modulo torsion |
j |
266763091319403556/1355769140625 |
j-invariant |
L |
6.5207725978538 |
L(r)(E,1)/r! |
Ω |
0.10167908395051 |
Real period |
R |
16.032728522723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000281 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
66240bq2 16560q2 22080cz2 |
Quadratic twists by: -4 8 -3 |