Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720eo |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
970146201600 = 214 · 38 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3612,-68816] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:108:1] [-30:112:1] |
Generators of the group modulo torsion |
j |
436334416/81225 |
j-invariant |
L |
9.5431397415298 |
L(r)(E,1)/r! |
Ω |
0.62375490670763 |
Real period |
R |
3.8248756197776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720cj2 13680q2 18240cl2 |
Quadratic twists by: -4 8 -3 |