Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4560v |
Isogeny class |
Conductor |
4560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
498636000000 = 28 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3476,-72360] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:54:1] |
Generators of the group modulo torsion |
j |
18148802937424/1947796875 |
j-invariant |
L |
4.2830430520271 |
L(r)(E,1)/r! |
Ω |
0.62607723803527 |
Real period |
R |
1.7102694331565 |
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 |
1140a2 18240cf2 13680bi2 22800bt2 |
Quadratic twists by: -4 8 -3 5 |