Atkin-Lehner |
2- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
32144y |
Isogeny class |
Conductor |
32144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
276605034496 = 213 · 77 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 0 -2 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1976,-21776] |
[a1,a2,a3,a4,a6] |
Generators |
[-30:98:1] [-28:104:1] |
Generators of the group modulo torsion |
j |
1771561/574 |
j-invariant |
L |
6.831120293303 |
L(r)(E,1)/r! |
Ω |
0.73447681773701 |
Real period |
R |
1.1625826929349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018e1 128576cq1 4592j1 |
Quadratic twists by: -4 8 -7 |