Atkin-Lehner |
2- 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
12720bc |
Isogeny class |
Conductor |
12720 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
1050118497239040 = 226 · 310 · 5 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 0 8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-165976,-26035180] |
[a1,a2,a3,a4,a6] |
j |
123453174678896089/256376586240 |
j-invariant |
L |
2.3656048323312 |
L(r)(E,1)/r! |
Ω |
0.23656048323312 |
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 |
1590c1 50880cq1 38160bw1 63600bk1 |
Quadratic twists by: -4 8 -3 5 |