Atkin-Lehner |
2- 3- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54180g |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2282623338240 = 28 · 39 · 5 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7383,233102] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-378:1] |
Generators of the group modulo torsion |
j |
238481570896/12231135 |
j-invariant |
L |
5.1630460783968 |
L(r)(E,1)/r! |
Ω |
0.80905226629137 |
Real period |
R |
0.53179980798733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060c2 |
Quadratic twists by: -3 |