Atkin-Lehner |
2- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816bh |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2768896 = -1 · 214 · 132 |
Discriminant |
Eigenvalues |
2- -2 -3 -4 0 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2097,36271] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:248:1] [21:44:1] |
Generators of the group modulo torsion |
j |
-368484688 |
j-invariant |
L |
3.6444485687799 |
L(r)(E,1)/r! |
Ω |
2.2147148583737 |
Real period |
R |
0.411390269384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10816m2 2704h2 97344fv2 10816bg2 |
Quadratic twists by: -4 8 -3 13 |