Atkin-Lehner |
2- 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
13632m |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8919908352 = 216 · 33 · 712 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 -4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2209,-38975] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:16:1] [75:460:1] |
Generators of the group modulo torsion |
j |
18198161572/136107 |
j-invariant |
L |
4.9860122306025 |
L(r)(E,1)/r! |
Ω |
0.69667473687049 |
Real period |
R |
3.5784362247724 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13632k2 3408c2 40896bx2 |
Quadratic twists by: -4 8 -3 |