Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
8514j |
Isogeny class |
Conductor |
8514 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
5517072 = 24 · 36 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-101,397] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:14:1] |
Generators of the group modulo torsion |
j |
154854153/7568 |
j-invariant |
L |
5.8082701654356 |
L(r)(E,1)/r! |
Ω |
2.379208821371 |
Real period |
R |
1.2206305964536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68112bn1 946a1 93654o1 |
Quadratic twists by: -4 -3 -11 |