Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544dq |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.0557846544076E+26 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-494809356,-4207535177200] |
[a1,a2,a3,a4,a6] |
Generators |
[-171494708764155236067966156110:-1248665597633509101325858263552:14180322671067562403901625] |
Generators of the group modulo torsion |
j |
70108386184777836280897/552468975892674624 |
j-invariant |
L |
4.7461485565068 |
L(r)(E,1)/r! |
Ω |
0.032025539233948 |
Real period |
R |
37.049716185628 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999984598 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544ca4 17136y3 22848bx4 |
Quadratic twists by: -4 8 -3 |