Atkin-Lehner |
3- 7+ 19- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51471f |
Isogeny class |
Conductor |
51471 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19807190301843 = 312 · 74 · 192 · 43 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 6 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6777,17982] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1467:8] |
Generators of the group modulo torsion |
j |
47222033748625/27170357067 |
j-invariant |
L |
7.1875072351303 |
L(r)(E,1)/r! |
Ω |
0.58400212123435 |
Real period |
R |
3.0768326748483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999334 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17157i2 |
Quadratic twists by: -3 |