Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bp |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
69169865490432 = 216 · 38 · 74 · 67 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11009,-197505] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:432:1] |
Generators of the group modulo torsion |
j |
2251784602372/1055448387 |
j-invariant |
L |
6.9442354499258 |
L(r)(E,1)/r! |
Ω |
0.48776469786079 |
Real period |
R |
0.88980345995537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958469 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048q4 22512c4 |
Quadratic twists by: -4 8 |