Atkin-Lehner |
2- 3- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fc |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1320476774400 = 212 · 36 · 52 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3001,-31801] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:105:1] [-31:180:1] |
Generators of the group modulo torsion |
j |
729972432064/322382025 |
j-invariant |
L |
12.760840411131 |
L(r)(E,1)/r! |
Ω |
0.6718540892425 |
Real period |
R |
1.5827891575404 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999971045 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
127680dt2 63840i1 |
Quadratic twists by: -4 8 |