Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
96432cn |
Isogeny class |
Conductor |
96432 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
12860474473857024 = 214 · 34 · 78 · 412 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1350064,603306836] |
[a1,a2,a3,a4,a6] |
Generators |
[380:12054:1] [836:7722:1] |
Generators of the group modulo torsion |
j |
564727473247393/26687556 |
j-invariant |
L |
11.777548055275 |
L(r)(E,1)/r! |
Ω |
0.37599852660403 |
Real period |
R |
3.9154236061368 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998047 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12054bb2 13776j2 |
Quadratic twists by: -4 -7 |