Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640cx |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
395078400 = 28 · 32 · 52 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-196,-520] |
[a1,a2,a3,a4,a6] |
Generators |
[67:540:1] |
Generators of the group modulo torsion |
j |
476656/225 |
j-invariant |
L |
9.3644603901527 |
L(r)(E,1)/r! |
Ω |
1.3355951111195 |
Real period |
R |
3.5057257654341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660b2 86640bp2 |
Quadratic twists by: -4 -19 |