Atkin-Lehner |
2- 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
8468d |
Isogeny class |
Conductor |
8468 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6192 |
Modular degree for the optimal curve |
Δ |
541952 = 28 · 29 · 73 |
Discriminant |
Eigenvalues |
2- -2 0 2 -5 0 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-19533,1044271] |
[a1,a2,a3,a4,a6] |
Generators |
[81:10:1] |
Generators of the group modulo torsion |
j |
3219680896000000/2117 |
j-invariant |
L |
2.9357089789862 |
L(r)(E,1)/r! |
Ω |
1.8028647970675 |
Real period |
R |
0.54278593783282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33872h1 76212e1 |
Quadratic twists by: -4 -3 |