Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82764g |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-1865664959761152 = -1 · 28 · 39 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11- -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-145200,21397156] |
[a1,a2,a3,a4,a6] |
Generators |
[-436:1350:1] [-220:6534:1] |
Generators of the group modulo torsion |
j |
-1024000000/5643 |
j-invariant |
L |
10.363818659455 |
L(r)(E,1)/r! |
Ω |
0.47133854319708 |
Real period |
R |
0.45808451665492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998788 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27588e1 7524f1 |
Quadratic twists by: -3 -11 |