Atkin-Lehner |
2- 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760ba |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
888898447360000 = 214 · 54 · 72 · 116 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 11- 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34243,-1972542] |
[a1,a2,a3,a4,a6] |
Generators |
[-129:546:1] |
Generators of the group modulo torsion |
j |
611960049/122500 |
j-invariant |
L |
4.8638176263422 |
L(r)(E,1)/r! |
Ω |
0.35587515054158 |
Real period |
R |
3.4168005401809 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999982 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8470h2 560d2 |
Quadratic twists by: -4 -11 |