Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
16800br |
Isogeny class |
Conductor |
16800 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
6615000000000 = 29 · 33 · 510 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-353008,80610488] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3750:1] |
Generators of the group modulo torsion |
j |
608119035935048/826875 |
j-invariant |
L |
5.7951304303555 |
L(r)(E,1)/r! |
Ω |
0.63641990601174 |
Real period |
R |
0.75881903017353 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16800g2 33600a4 50400s4 3360g3 |
Quadratic twists by: -4 8 -3 5 |