Atkin-Lehner |
2+ 7+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
82544d |
Isogeny class |
Conductor |
82544 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
190464 |
Modular degree for the optimal curve |
Δ |
-23084178439168 = -1 · 210 · 73 · 114 · 672 |
Discriminant |
Eigenvalues |
2+ -2 -2 7+ 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-21504,1228420] |
[a1,a2,a3,a4,a6] |
Generators |
[72:-242:1] |
Generators of the group modulo torsion |
j |
-1073993629814788/22543143007 |
j-invariant |
L |
3.3353789929349 |
L(r)(E,1)/r! |
Ω |
0.67599586181801 |
Real period |
R |
1.2335057007263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999881732 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41272f1 |
Quadratic twists by: -4 |