Atkin-Lehner |
2- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
4316a |
Isogeny class |
Conductor |
4316 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
648 |
Modular degree for the optimal curve |
Δ |
-224432 = -1 · 24 · 132 · 83 |
Discriminant |
Eigenvalues |
2- -3 2 1 3 13+ 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4,-23] |
[a1,a2,a3,a4,a6] |
Generators |
[6:13:1] |
Generators of the group modulo torsion |
j |
-442368/14027 |
j-invariant |
L |
2.7430210007787 |
L(r)(E,1)/r! |
Ω |
1.3686685587178 |
Real period |
R |
0.33402547598869 |
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 |
17264b1 69056h1 38844c1 107900i1 |
Quadratic twists by: -4 8 -3 5 |