Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905a |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
7920 |
Modular degree for the optimal curve |
Δ |
-16304314635 = -1 · 310 · 5 · 74 · 23 |
Discriminant |
Eigenvalues |
0 3+ 5+ 7+ 2 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,229,5921] |
[a1,a2,a3,a4,a6] |
Generators |
[89:850:1] |
Generators of the group modulo torsion |
j |
550731776/6790635 |
j-invariant |
L |
3.1811483249563 |
L(r)(E,1)/r! |
Ω |
0.91430920307396 |
Real period |
R |
0.57988193240337 |
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 |
50715bj1 84525bn1 16905y1 |
Quadratic twists by: -3 5 -7 |