Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dw |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
2777664960 = 26 · 311 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-714423,232424152] |
[a1,a2,a3,a4,a6] |
Generators |
[972:21362:1] |
Generators of the group modulo torsion |
j |
864335783029582144/59535 |
j-invariant |
L |
5.0789671828992 |
L(r)(E,1)/r! |
Ω |
0.79207341937171 |
Real period |
R |
6.4122429293587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160ej1 10080bz3 6720ci1 100800nu1 |
Quadratic twists by: -4 8 -3 5 |