Atkin-Lehner |
2- 3+ 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120q |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-1687296000000 = -1 · 214 · 3 · 56 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,864,61440] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:208:1] |
Generators of the group modulo torsion |
j |
17394111071/411937500 |
j-invariant |
L |
2.5949853948626 |
L(r)(E,1)/r! |
Ω |
0.63026761251492 |
Real period |
R |
0.68621258211994 |
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 |
390c3 12480cy3 9360cb3 15600cc3 |
Quadratic twists by: -4 8 -3 5 |