Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82764i |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-47505357771696 = -1 · 24 · 36 · 118 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2904,-326095] |
[a1,a2,a3,a4,a6] |
j |
131072/2299 |
j-invariant |
L |
1.8614127793602 |
L(r)(E,1)/r! |
Ω |
0.31023546811671 |
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 |
9196e1 7524e1 |
Quadratic twists by: -3 -11 |