Atkin-Lehner |
2- 5- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
82880bm |
Isogeny class |
Conductor |
82880 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-45385088000 = -1 · 210 · 53 · 7 · 373 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 4 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-505,10975] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:5:1] |
Generators of the group modulo torsion |
j |
-13936624384/44321375 |
j-invariant |
L |
8.2637352314406 |
L(r)(E,1)/r! |
Ω |
0.99784035695507 |
Real period |
R |
2.7605401919351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998941 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82880s2 20720i2 |
Quadratic twists by: -4 8 |