Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2040f |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-488191408750944000 = -1 · 28 · 37 · 53 · 178 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20236,33628064] |
[a1,a2,a3,a4,a6] |
j |
-3579968623693264/1906997690433375 |
j-invariant |
L |
1.6716905895835 |
L(r)(E,1)/r! |
Ω |
0.23881294136907 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4080d1 16320p1 6120z1 10200bd1 |
Quadratic twists by: -4 8 -3 5 |