Atkin-Lehner |
2- 3- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13416f |
Isogeny class |
Conductor |
13416 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
17943524352 = 210 · 36 · 13 · 432 |
Discriminant |
Eigenvalues |
2- 3- -2 2 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-664,-1600] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:72:1] |
Generators of the group modulo torsion |
j |
31665174628/17522973 |
j-invariant |
L |
5.5788118526465 |
L(r)(E,1)/r! |
Ω |
1.0071947188659 |
Real period |
R |
0.92316009806724 |
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 |
26832c2 107328m2 40248f2 |
Quadratic twists by: -4 8 -3 |