Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120j |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3331355040000 = 28 · 36 · 54 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-152100,-22882500] |
[a1,a2,a3,a4,a6] |
j |
1520107298839022416/13013105625 |
j-invariant |
L |
2.90100503349 |
L(r)(E,1)/r! |
Ω |
0.2417504194575 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1560j2 12480bm2 9360l2 15600b2 |
Quadratic twists by: -4 8 -3 5 |