Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bn |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
5.11600536E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33873132,75872864144] |
[a1,a2,a3,a4,a6] |
Generators |
[-5987:253125:1] |
Generators of the group modulo torsion |
j |
179933617934808776648/21416748046875 |
j-invariant |
L |
7.6069605316408 |
L(r)(E,1)/r! |
Ω |
0.15880047185084 |
Real period |
R |
1.9959429913871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999595 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720ca4 27360j4 18240a3 |
Quadratic twists by: -4 8 -3 |