Atkin-Lehner |
5+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
16835a |
Isogeny class |
Conductor |
16835 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
13887444025 = 52 · 74 · 132 · 372 |
Discriminant |
Eigenvalues |
1 0 5+ 7+ 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1090,-12369] |
[a1,a2,a3,a4,a6] |
Generators |
[17012:266219:64] |
Generators of the group modulo torsion |
j |
143293769207289/13887444025 |
j-invariant |
L |
4.859432177814 |
L(r)(E,1)/r! |
Ω |
0.83602766910641 |
Real period |
R |
5.8125255387875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
84175h2 117845m2 |
Quadratic twists by: 5 -7 |