Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040hd |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
9371850821222400 = 214 · 34 · 52 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145105,20710703] |
[a1,a2,a3,a4,a6] |
Generators |
[-103:5880:1] |
Generators of the group modulo torsion |
j |
175293437776/4862025 |
j-invariant |
L |
8.5480660047128 |
L(r)(E,1)/r! |
Ω |
0.40837010955176 |
Real period |
R |
2.6165192446687 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
47040br2 11760f2 6720bh2 |
Quadratic twists by: -4 8 -7 |