Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160eg |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
88179840000 = 210 · 39 · 54 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2568,-48008] |
[a1,a2,a3,a4,a6] |
j |
2508888064/118125 |
j-invariant |
L |
2.6904563435126 |
L(r)(E,1)/r! |
Ω |
0.67261408587814 |
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 |
20160bh1 5040s1 6720cn1 100800mb1 |
Quadratic twists by: -4 8 -3 5 |