Atkin-Lehner |
2- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
40678n |
Isogeny class |
Conductor |
40678 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
387623329175104 = 26 · 116 · 434 |
Discriminant |
Eigenvalues |
2- 1 -3 -1 11+ -1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-603737,-180607111] |
[a1,a2,a3,a4,a6] |
Generators |
[-448:267:1] [60596:599265:64] |
Generators of the group modulo torsion |
j |
7118579046875233/113379904 |
j-invariant |
L |
12.416653011307 |
L(r)(E,1)/r! |
Ω |
0.17127265020039 |
Real period |
R |
2.0137892867796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40678c2 |
Quadratic twists by: -43 |