Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bp |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-83199303548928 = -1 · 216 · 32 · 7 · 674 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-609,438687] |
[a1,a2,a3,a4,a6] |
Generators |
[21:660:1] |
Generators of the group modulo torsion |
j |
-381775972/1269520623 |
j-invariant |
L |
6.9442354499258 |
L(r)(E,1)/r! |
Ω |
0.48776469786079 |
Real period |
R |
3.5592138398215 |
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 |
90048q3 22512c3 |
Quadratic twists by: -4 8 |