Atkin-Lehner |
2+ 3+ 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21714c |
Isogeny class |
Conductor |
21714 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
289808949298176 = 210 · 32 · 76 · 112 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16544,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:846:1] |
Generators of the group modulo torsion |
j |
500825337906329353/289808949298176 |
j-invariant |
L |
4.0525802497256 |
L(r)(E,1)/r! |
Ω |
0.46290586205101 |
Real period |
R |
1.4591088534249 |
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 |
65142ba2 |
Quadratic twists by: -3 |