Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
44640bi |
Isogeny class |
Conductor |
44640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-672546240 = -1 · 26 · 37 · 5 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 4 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-1208] |
[a1,a2,a3,a4,a6] |
Generators |
[17:72:1] |
Generators of the group modulo torsion |
j |
1560896/14415 |
j-invariant |
L |
5.6413865762674 |
L(r)(E,1)/r! |
Ω |
0.79811907639788 |
Real period |
R |
1.7670880019961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44640bn1 89280fg2 14880i1 |
Quadratic twists by: -4 8 -3 |