Atkin-Lehner |
2+ 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
55440be |
Isogeny class |
Conductor |
55440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
591471175680 = 211 · 37 · 5 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-63507,-6159886] |
[a1,a2,a3,a4,a6] |
Generators |
[-145:2:1] |
Generators of the group modulo torsion |
j |
18972782339618/396165 |
j-invariant |
L |
5.6545103918898 |
L(r)(E,1)/r! |
Ω |
0.30074242645003 |
Real period |
R |
2.3502297542006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27720y4 18480d4 |
Quadratic twists by: -4 -3 |