Atkin-Lehner |
2- 3- 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27846bd |
Isogeny class |
Conductor |
27846 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5087397536676 = 22 · 312 · 72 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8024,-252457] |
[a1,a2,a3,a4,a6] |
Generators |
[11838:448487:8] |
Generators of the group modulo torsion |
j |
78364289651257/6978597444 |
j-invariant |
L |
9.24615621848 |
L(r)(E,1)/r! |
Ω |
0.50730567651505 |
Real period |
R |
4.5565014578571 |
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 |
9282i2 |
Quadratic twists by: -3 |