Atkin-Lehner |
2- 3+ 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040bk |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
30635458560 = 218 · 32 · 5 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 0 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4200,105840] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:448:1] |
Generators of the group modulo torsion |
j |
2000852317801/7479360 |
j-invariant |
L |
4.5928558566938 |
L(r)(E,1)/r! |
Ω |
1.179513886369 |
Real period |
R |
0.97346371104575 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999923243 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11130q1 |
Quadratic twists by: -4 |