Atkin-Lehner |
2- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4816g |
Isogeny class |
Conductor |
4816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1152 |
Modular degree for the optimal curve |
Δ |
-2465792 = -1 · 213 · 7 · 43 |
Discriminant |
Eigenvalues |
2- -3 2 7- 3 2 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19,82] |
[a1,a2,a3,a4,a6] |
Generators |
[1:8:1] |
Generators of the group modulo torsion |
j |
-185193/602 |
j-invariant |
L |
2.8752661594349 |
L(r)(E,1)/r! |
Ω |
2.2604792500976 |
Real period |
R |
0.31799298304893 |
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 |
602c1 19264v1 43344bo1 120400bh1 |
Quadratic twists by: -4 8 -3 5 |