Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gr |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
809575710720 = 216 · 3 · 5 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-439105,-112142017] |
[a1,a2,a3,a4,a6] |
Generators |
[-125817222:-328105:328509] |
Generators of the group modulo torsion |
j |
1214399773444/105 |
j-invariant |
L |
8.2399508851897 |
L(r)(E,1)/r! |
Ω |
0.18546304201536 |
Real period |
R |
11.107268051403 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bc4 11760c3 6720bl3 |
Quadratic twists by: -4 8 -7 |