Atkin-Lehner |
2- 3+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846z |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
20259856877734656 = 28 · 39 · 72 · 136 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 13+ 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-635339,-194640677] |
[a1,a2,a3,a4,a6] |
Generators |
[-469:314:1] |
Generators of the group modulo torsion |
j |
1440948051852717771/1029307365632 |
j-invariant |
L |
9.9994011819783 |
L(r)(E,1)/r! |
Ω |
0.16910905061717 |
Real period |
R |
3.6956187240886 |
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 |
27846d2 |
Quadratic twists by: -3 |