Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720eo |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-93392741007360 = -1 · 216 · 37 · 5 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7188,-401456] |
[a1,a2,a3,a4,a6] |
Generators |
[50:288:1] [80:828:1] |
Generators of the group modulo torsion |
j |
859687196/1954815 |
j-invariant |
L |
9.5431397415298 |
L(r)(E,1)/r! |
Ω |
0.31187745335382 |
Real period |
R |
3.8248756197776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cj3 13680q4 18240cl4 |
Quadratic twists by: -4 8 -3 |