Atkin-Lehner |
2- 5+ 13+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82160j |
Isogeny class |
Conductor |
82160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
16616038400000000 = 219 · 58 · 13 · 792 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-125536,-15915264] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:576:1] [35760:1248832:27] |
Generators of the group modulo torsion |
j |
53416088531634529/4056650000000 |
j-invariant |
L |
13.015665006462 |
L(r)(E,1)/r! |
Ω |
0.25485243409609 |
Real period |
R |
12.767844510444 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999903 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10270c2 |
Quadratic twists by: -4 |