Atkin-Lehner |
2- 3- 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160es |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-1632960 = -1 · 26 · 36 · 5 · 7 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -3 -1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18,-54] |
[a1,a2,a3,a4,a6] |
j |
13824/35 |
j-invariant |
L |
1.3752513085795 |
L(r)(E,1)/r! |
Ω |
1.3752513085795 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20160fe1 10080k1 2240r1 100800no1 |
Quadratic twists by: -4 8 -3 5 |