Atkin-Lehner |
5+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16835a |
Isogeny class |
Conductor |
16835 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1733043300625 = -1 · 54 · 78 · 13 · 37 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1315,-60950] |
[a1,a2,a3,a4,a6] |
Generators |
[879648930:-6197897863:19683000] |
Generators of the group modulo torsion |
j |
251371007036631/1733043300625 |
j-invariant |
L |
4.859432177814 |
L(r)(E,1)/r! |
Ω |
0.41801383455321 |
Real period |
R |
11.625051077575 |
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 |
84175h3 117845m3 |
Quadratic twists by: 5 -7 |