Atkin-Lehner |
2- 3- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8268d |
Isogeny class |
Conductor |
8268 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
2640 |
Modular degree for the optimal curve |
Δ |
-42861312 = -1 · 28 · 35 · 13 · 53 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 5 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,83,-97] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9:1] |
Generators of the group modulo torsion |
j |
244047872/167427 |
j-invariant |
L |
5.642279987766 |
L(r)(E,1)/r! |
Ω |
1.1495672652793 |
Real period |
R |
0.9816354654802 |
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 |
33072j1 24804f1 107484h1 |
Quadratic twists by: -4 -3 13 |