Atkin-Lehner |
2+ 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368cn |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
93184 |
Modular degree for the optimal curve |
Δ |
-150302490624 = -1 · 217 · 36 · 112 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 3 -3 11- 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1044,-13392] |
[a1,a2,a3,a4,a6] |
j |
1317006/1573 |
j-invariant |
L |
2.2087023998585 |
L(r)(E,1)/r! |
Ω |
0.55217561521543 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82368ej1 10296k1 9152h1 |
Quadratic twists by: -4 8 -3 |