Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440ba |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.1670176191323E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7984227,-6956276654] |
[a1,a2,a3,a4,a6] |
Generators |
[25666:169785:8] |
Generators of the group modulo torsion |
j |
75404081626158563716/15633273575910375 |
j-invariant |
L |
6.2742976660394 |
L(r)(E,1)/r! |
Ω |
0.091124895492517 |
Real period |
R |
5.7378188036074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720w3 18480s4 |
Quadratic twists by: -4 -3 |