Atkin-Lehner |
2- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120co |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-445635069214720000 = -1 · 234 · 54 · 73 · 112 |
Discriminant |
Eigenvalues |
2- 2 5- 7- 11+ -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100000,-29755648] |
[a1,a2,a3,a4,a6] |
j |
78716413996793/317194240000 |
j-invariant |
L |
2.4084757960745 |
L(r)(E,1)/r! |
Ω |
0.15052973725836 |
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 |
5390bj1 43120bl1 |
Quadratic twists by: -4 -7 |