Atkin-Lehner |
2+ 31+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
40672a |
Isogeny class |
Conductor |
40672 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
26680832 = 29 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ 2 -2 2 -2 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-344,-2332] |
[a1,a2,a3,a4,a6] |
Generators |
[68168:775515:512] |
Generators of the group modulo torsion |
j |
8818423496/52111 |
j-invariant |
L |
8.0585077127629 |
L(r)(E,1)/r! |
Ω |
1.1086880095675 |
Real period |
R |
7.2685080412388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999955 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40672d2 81344a2 |
Quadratic twists by: -4 8 |