Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
90048bn |
Isogeny class |
Conductor |
90048 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-17019072 = -1 · 26 · 34 · 72 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-117,-567] |
[a1,a2,a3,a4,a6] |
Generators |
[24:105:1] |
Generators of the group modulo torsion |
j |
-2791309312/265923 |
j-invariant |
L |
9.3888488309158 |
L(r)(E,1)/r! |
Ω |
0.721388441483 |
Real period |
R |
1.6268712331083 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004422 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90048o1 22512m1 |
Quadratic twists by: -4 8 |