Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ba |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3.751087725E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39564507,95786586394] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:311850:1] |
Generators of the group modulo torsion |
j |
9175156963749600923236/50249267578125 |
j-invariant |
L |
6.2742976660394 |
L(r)(E,1)/r! |
Ω |
0.18224979098503 |
Real period |
R |
1.4344547009018 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27720w4 18480s3 |
Quadratic twists by: -4 -3 |