Atkin-Lehner |
3+ 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
16695d |
Isogeny class |
Conductor |
16695 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-61354125 = -1 · 33 · 53 · 73 · 53 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7- 3 -3 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1057530,-418324099] |
[a1,a2,a3,a4,a6] |
Generators |
[18534692:2171734253:1331] |
Generators of the group modulo torsion |
j |
-4844380728835462318587/2272375 |
j-invariant |
L |
5.5973489741337 |
L(r)(E,1)/r! |
Ω |
0.074438286187 |
Real period |
R |
12.532415017527 |
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 |
16695h1 83475b1 116865k1 |
Quadratic twists by: -3 5 -7 |