Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
69384bb |
Isogeny class |
Conductor |
69384 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2426782435165734912 = -1 · 211 · 310 · 78 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 4 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-131728,-77220256] |
[a1,a2,a3,a4,a6] |
Generators |
[153380:7402317:64] |
Generators of the group modulo torsion |
j |
-1049163349250/10071928881 |
j-invariant |
L |
8.3528370175799 |
L(r)(E,1)/r! |
Ω |
0.10928966204009 |
Real period |
R |
7.6428427544608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001167 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9912k2 |
Quadratic twists by: -7 |