Atkin-Lehner |
2- 3+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82764a |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
-1865664959761152 = -1 · 28 · 39 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 11- -1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,26136,1293732] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:242:1] |
Generators of the group modulo torsion |
j |
221184/209 |
j-invariant |
L |
9.3967437899757 |
L(r)(E,1)/r! |
Ω |
0.3073096776471 |
Real period |
R |
1.2740600762188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999980368 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82764b1 7524d1 |
Quadratic twists by: -3 -11 |