Atkin-Lehner |
2+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
10816v |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-71991296 = -1 · 215 · 133 |
Discriminant |
Eigenvalues |
2+ 3 -3 1 4 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-364,-2704] |
[a1,a2,a3,a4,a6] |
j |
-74088 |
j-invariant |
L |
4.3685313295409 |
L(r)(E,1)/r! |
Ω |
0.54606641619261 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816x1 5408m1 97344di1 10816u1 |
Quadratic twists by: -4 8 -3 13 |