Atkin-Lehner |
3- 7+ 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
20769c |
Isogeny class |
Conductor |
20769 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
431351361 = 32 · 72 · 232 · 432 |
Discriminant |
Eigenvalues |
1 3- 2 7+ -4 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-200,-439] |
[a1,a2,a3,a4,a6] |
Generators |
[-1659:7678:343] |
Generators of the group modulo torsion |
j |
878392183033/431351361 |
j-invariant |
L |
8.0399368997727 |
L(r)(E,1)/r! |
Ω |
1.3353751957753 |
Real period |
R |
6.0207325440884 |
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 |
62307c2 |
Quadratic twists by: -3 |