Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
66640bk |
Isogeny class |
Conductor |
66640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-8192135168000 = -1 · 215 · 53 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- 0 -5 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1976,141140] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:196:1] [-10:400:1] |
Generators of the group modulo torsion |
j |
-1771561/17000 |
j-invariant |
L |
11.090633724644 |
L(r)(E,1)/r! |
Ω |
0.62914193123533 |
Real period |
R |
2.2035237944813 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999982 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330e1 1360i1 |
Quadratic twists by: -4 -7 |