Atkin-Lehner |
2- 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17424bc |
Isogeny class |
Conductor |
17424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1517208151523328 = 218 · 33 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1983795,1075455986] |
[a1,a2,a3,a4,a6] |
Generators |
[1639:47190:1] |
Generators of the group modulo torsion |
j |
4406910829875/7744 |
j-invariant |
L |
5.5781468537607 |
L(r)(E,1)/r! |
Ω |
0.40815556702106 |
Real period |
R |
3.4166793892296 |
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 |
2178a2 69696ee2 17424bd4 1584j2 |
Quadratic twists by: -4 8 -3 -11 |