Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160bp |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
80017981194240 = 214 · 38 · 5 · 533 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2233443,-1284725662] |
[a1,a2,a3,a4,a6] |
Generators |
[1783:20034:1] [2737:114480:1] |
Generators of the group modulo torsion |
j |
412630052957036641/26797860 |
j-invariant |
L |
8.0519229615943 |
L(r)(E,1)/r! |
Ω |
0.12349683798499 |
Real period |
R |
5.4332855082041 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4770k3 12720u3 |
Quadratic twists by: -4 -3 |