Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816ba |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
64254481408 = 210 · 137 |
Discriminant |
Eigenvalues |
2- 0 2 -2 2 13+ 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2704,52728] |
[a1,a2,a3,a4,a6] |
j |
442368/13 |
j-invariant |
L |
2.1983166205202 |
L(r)(E,1)/r! |
Ω |
1.0991583102601 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10816c1 2704f1 97344fm1 832h1 |
Quadratic twists by: -4 8 -3 13 |