Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816b |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-725849473024 = -1 · 232 · 132 |
Discriminant |
Eigenvalues |
2+ 0 -1 -4 4 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24908,-1513616] |
[a1,a2,a3,a4,a6] |
Generators |
[30870:339968:125] |
Generators of the group modulo torsion |
j |
-38575685889/16384 |
j-invariant |
L |
3.4480670908101 |
L(r)(E,1)/r! |
Ω |
0.19000882854464 |
Real period |
R |
4.5367195793222 |
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 |
10816z2 338a2 97344bf2 10816a2 |
Quadratic twists by: -4 8 -3 13 |