Atkin-Lehner |
2- 3- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
72624u |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
178703843328 = 214 · 34 · 17 · 892 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -2 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,-76] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:144:1] |
Generators of the group modulo torsion |
j |
75418890625/43628868 |
j-invariant |
L |
6.9957827798045 |
L(r)(E,1)/r! |
Ω |
0.85824983290781 |
Real period |
R |
1.0189024381571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078e1 |
Quadratic twists by: -4 |