Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626a |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
440558909388 = 22 · 33 · 132 · 176 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-18261,953849] |
[a1,a2,a3,a4,a6] |
Generators |
[-140:937:1] |
Generators of the group modulo torsion |
j |
1033364331/676 |
j-invariant |
L |
6.2415399362756 |
L(r)(E,1)/r! |
Ω |
0.93077851227808 |
Real period |
R |
1.6764299599105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000288 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67626q2 234c2 |
Quadratic twists by: -3 17 |