Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13728b |
Isogeny class |
Conductor |
13728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1036518912 = 29 · 32 · 113 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 11+ 13+ 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14184,654948] |
[a1,a2,a3,a4,a6] |
Generators |
[56:182:1] |
Generators of the group modulo torsion |
j |
616425416371016/2024451 |
j-invariant |
L |
3.97593473538 |
L(r)(E,1)/r! |
Ω |
1.3600722794173 |
Real period |
R |
1.4616630290721 |
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 |
13728m2 27456bh2 41184be2 |
Quadratic twists by: -4 8 -3 |