Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bm |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
5646519631872 = 218 · 38 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22113,1253151] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-864:1] |
Generators of the group modulo torsion |
j |
4561907001625/21539763 |
j-invariant |
L |
6.8285660948906 |
L(r)(E,1)/r! |
Ω |
0.76412407593766 |
Real period |
R |
0.55852890156886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90048n2 22512l2 |
Quadratic twists by: -4 8 |