Atkin-Lehner |
2- 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88768k |
Isogeny class |
Conductor |
88768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
442129973248 = 224 · 192 · 73 |
Discriminant |
Eigenvalues |
2- 0 0 -2 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3340,-67056] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:84:1] [85:513:1] |
Generators of the group modulo torsion |
j |
15718937625/1686592 |
j-invariant |
L |
10.550508222539 |
L(r)(E,1)/r! |
Ω |
0.63236938730708 |
Real period |
R |
8.3420453568569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000125 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
88768d1 22192b1 |
Quadratic twists by: -4 8 |