Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
82764p |
Isogeny class |
Conductor |
82764 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-26485597645056 = -1 · 28 · 38 · 112 · 194 |
Discriminant |
Eigenvalues |
2- 3- -3 2 11- -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8679,397694] |
[a1,a2,a3,a4,a6] |
Generators |
[67:342:1] |
Generators of the group modulo torsion |
j |
-3201694672/1172889 |
j-invariant |
L |
4.4227735846539 |
L(r)(E,1)/r! |
Ω |
0.62903224447042 |
Real period |
R |
0.29296150477728 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999891704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27588d1 82764l1 |
Quadratic twists by: -3 -11 |