Atkin-Lehner |
5+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16835b |
Isogeny class |
Conductor |
16835 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1094275 = 52 · 7 · 132 · 37 |
Discriminant |
Eigenvalues |
-1 0 5+ 7+ 6 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1383,-19444] |
[a1,a2,a3,a4,a6] |
Generators |
[350:211:8] |
Generators of the group modulo torsion |
j |
292345102121409/1094275 |
j-invariant |
L |
2.7190912056928 |
L(r)(E,1)/r! |
Ω |
0.78292226354925 |
Real period |
R |
3.4730027900423 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84175g2 117845n2 |
Quadratic twists by: 5 -7 |