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 |
5969202785 = 5 · 72 · 13 · 374 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17015,-850024] |
[a1,a2,a3,a4,a6] |
Generators |
[-99836990:46278409:1331000] |
Generators of the group modulo torsion |
j |
544796024426988489/5969202785 |
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 |
84175h4 117845m4 |
Quadratic twists by: 5 -7 |