Atkin-Lehner |
2- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
16660j |
Isogeny class |
Conductor |
16660 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2160 |
Modular degree for the optimal curve |
Δ |
1066240 = 28 · 5 · 72 · 17 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 0 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-205,-1063] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:1:1] |
Generators of the group modulo torsion |
j |
76324864/85 |
j-invariant |
L |
4.435697169407 |
L(r)(E,1)/r! |
Ω |
1.2612864501919 |
Real period |
R |
1.1722679831459 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66640cm1 83300k1 16660a1 |
Quadratic twists by: -4 5 -7 |