Atkin-Lehner |
2- 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12480dg |
Isogeny class |
Conductor |
12480 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2771352327070679040 = 223 · 34 · 5 · 138 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-397345,-53786785] |
[a1,a2,a3,a4,a6] |
Generators |
[-286:6045:1] |
Generators of the group modulo torsion |
j |
26465989780414729/10571870144160 |
j-invariant |
L |
5.3100948547194 |
L(r)(E,1)/r! |
Ω |
0.19683156109059 |
Real period |
R |
3.3722328531166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12480s3 3120o4 37440er3 62400ej3 |
Quadratic twists by: -4 8 -3 5 |