Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760bo |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1048517084160 = 210 · 38 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 13+ 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-112467,14517214] |
[a1,a2,a3,a4,a6] |
Generators |
[195:32:1] |
Generators of the group modulo torsion |
j |
210751929444676/1404585 |
j-invariant |
L |
6.9066651391054 |
L(r)(E,1)/r! |
Ω |
0.78114545988259 |
Real period |
R |
2.2104286249528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65520be4 10920h3 |
Quadratic twists by: -4 -3 |