Atkin-Lehner |
2- 3+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82764d |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-8797659721813697328 = -1 · 24 · 39 · 118 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 11- -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-261360,151690077] |
[a1,a2,a3,a4,a6] |
j |
-3538944000/15768841 |
j-invariant |
L |
0.80615667828167 |
L(r)(E,1)/r! |
Ω |
0.20153916238188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82764c1 7524a1 |
Quadratic twists by: -3 -11 |