Atkin-Lehner |
2+ 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832g |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
564792393728 = 222 · 17 · 892 |
Discriminant |
Eigenvalues |
2+ -2 2 -2 4 -2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7617,250783] |
[a1,a2,a3,a4,a6] |
Generators |
[-83:564:1] [27:256:1] |
Generators of the group modulo torsion |
j |
186463002097/2154512 |
j-invariant |
L |
9.1953937769153 |
L(r)(E,1)/r! |
Ω |
0.92457371185801 |
Real period |
R |
4.9727748360714 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832z1 3026e1 |
Quadratic twists by: -4 8 |