Atkin-Lehner |
3- 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51471d |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.740070601464E+19 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-732222,133901613] |
[a1,a2,a3,a4,a6] |
Generators |
[-56284932:-1516756521:85184] |
Generators of the group modulo torsion |
j |
59555906234827206625/23869281227214843 |
j-invariant |
L |
6.006274307195 |
L(r)(E,1)/r! |
Ω |
0.1987587719584 |
Real period |
R |
7.5547285888725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999696 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157g2 |
Quadratic twists by: -3 |