Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
20160fk |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-4802902776000 = -1 · 26 · 36 · 53 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -5 -5 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3342,-129026] |
[a1,a2,a3,a4,a6] |
Generators |
[153:1715:1] |
Generators of the group modulo torsion |
j |
-88478050816/102942875 |
j-invariant |
L |
5.3124400152504 |
L(r)(E,1)/r! |
Ω |
0.30045919488108 |
Real period |
R |
0.84195570769492 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160ey1 10080bs1 2240u1 100800mp1 |
Quadratic twists by: -4 8 -3 5 |