Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040u |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1667209835543040 = 29 · 318 · 5 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90147,-10230874] |
[a1,a2,a3,a4,a6] |
Generators |
[-60697:145550:343] |
Generators of the group modulo torsion |
j |
217060129661192/4466761605 |
j-invariant |
L |
6.9405227589606 |
L(r)(E,1)/r! |
Ω |
0.27587038856413 |
Real period |
R |
6.2896590631853 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040q2 118080eg2 19680p2 |
Quadratic twists by: -4 8 -3 |