Atkin-Lehner |
5- 7+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
82775v |
Isogeny class |
Conductor |
82775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4673560568359375 = -1 · 59 · 76 · 11 · 432 |
Discriminant |
Eigenvalues |
1 2 5- 7+ 11- 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-31075,3894000] |
[a1,a2,a3,a4,a6] |
Generators |
[60:1470:1] [22560:3377220:1] |
Generators of the group modulo torsion |
j |
-1699217303237/2392863011 |
j-invariant |
L |
17.306040815751 |
L(r)(E,1)/r! |
Ω |
0.39104332270662 |
Real period |
R |
22.128035195834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999163 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82775bd2 |
Quadratic twists by: 5 |