Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dr |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.5395000968207E+23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-710463468,-7288854554288] |
[a1,a2,a3,a4,a6] |
Generators |
[-28425179239826580490719:-8011946830014651937657:1845789495960776309] |
Generators of the group modulo torsion |
j |
207530301091125281552569/805586668007040 |
j-invariant |
L |
4.1318826846193 |
L(r)(E,1)/r! |
Ω |
0.02924248110561 |
Real period |
R |
35.324316955921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720bl4 13680bx3 18240cq4 |
Quadratic twists by: -4 8 -3 |