Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680fr |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
27147960000 = 26 · 36 · 54 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1016,-9966] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:42:1] |
Generators of the group modulo torsion |
j |
1814062505536/424186875 |
j-invariant |
L |
7.6509994506342 |
L(r)(E,1)/r! |
Ω |
0.85982791462442 |
Real period |
R |
1.4830485980153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999355972 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680di1 63840m2 |
Quadratic twists by: -4 8 |