Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440eo |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3.0847273854566E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1739307,255848794] |
[a1,a2,a3,a4,a6] |
Generators |
[-577:32670:1] |
Generators of the group modulo torsion |
j |
194878967635813609/103306896000000 |
j-invariant |
L |
6.8043389995106 |
L(r)(E,1)/r! |
Ω |
0.150978091443 |
Real period |
R |
1.8778494433951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999482 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6930bg2 18480cu2 |
Quadratic twists by: -4 -3 |