Atkin-Lehner |
2- 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960dk |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-196556945760000 = -1 · 28 · 36 · 54 · 73 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5164,660960] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:714:1] |
Generators of the group modulo torsion |
j |
173406041552/2238485625 |
j-invariant |
L |
8.173405375364 |
L(r)(E,1)/r! |
Ω |
0.41830270492135 |
Real period |
R |
0.27138126910104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99960cm1 |
Quadratic twists by: -7 |