Atkin-Lehner |
2- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6448h |
Isogeny class |
Conductor |
6448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
-83824 = -1 · 24 · 132 · 31 |
Discriminant |
Eigenvalues |
2- -2 -1 -1 -2 13+ 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-926,10543] |
[a1,a2,a3,a4,a6] |
Generators |
[19:13:1] |
Generators of the group modulo torsion |
j |
-5494214435584/5239 |
j-invariant |
L |
2.2519306548617 |
L(r)(E,1)/r! |
Ω |
2.8607619552933 |
Real period |
R |
0.39358931117896 |
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 |
1612b1 25792bj1 58032z1 83824u1 |
Quadratic twists by: -4 8 -3 13 |