Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2184f |
Isogeny class |
Conductor |
2184 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
471832687872 = 28 · 310 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166388,26068080] |
[a1,a2,a3,a4,a6] |
Generators |
[316:-2268:1] |
Generators of the group modulo torsion |
j |
1989996724085074000/1843096437 |
j-invariant |
L |
3.589371515583 |
L(r)(E,1)/r! |
Ω |
0.78253056059464 |
Real period |
R |
0.22934385545629 |
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 |
4368a2 17472j2 6552t2 54600bn2 |
Quadratic twists by: -4 8 -3 5 |