Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10816p |
Isogeny class |
Conductor |
10816 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5879378388504E+20 |
Discriminant |
Eigenvalues |
2+ 3 -1 -1 -2 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2300428,-1473466384] |
[a1,a2,a3,a4,a6] |
Generators |
[30849437190:-2487396474784:4492125] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
6.9906273207982 |
L(r)(E,1)/r! |
Ω |
0.060890662204146 |
Real period |
R |
14.35077864928 |
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 |
10816bk2 338f2 97344bc2 832f2 |
Quadratic twists by: -4 8 -3 13 |