Atkin-Lehner |
2- 3- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
127680fu |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15321600000000 = 215 · 32 · 58 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 0 -6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-51905,-4565025] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:60:1] [265:600:1] |
Generators of the group modulo torsion |
j |
471964931512712/467578125 |
j-invariant |
L |
14.620756071039 |
L(r)(E,1)/r! |
Ω |
0.31631689597635 |
Real period |
R |
5.7777328150441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999947715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680et4 63840bf4 |
Quadratic twists by: -4 8 |