Atkin-Lehner |
3- 5- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82365p |
Isogeny class |
Conductor |
82365 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
6464746485 = 36 · 5 · 173 · 192 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-635,4740] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:97:1] |
Generators of the group modulo torsion |
j |
5764224257/1315845 |
j-invariant |
L |
5.5500237410499 |
L(r)(E,1)/r! |
Ω |
1.258933793375 |
Real period |
R |
0.73475186824028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001822 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82365b2 |
Quadratic twists by: 17 |