Atkin-Lehner |
3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
123627r |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.2102687017126E+21 |
Discriminant |
Eigenvalues |
1 3- 2 7- -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1401965,1791469103] |
[a1,a2,a3,a4,a6] |
Generators |
[3953980065851040320217673554:303132514955638332192541824181:8643979664580377164739544] |
Generators of the group modulo torsion |
j |
-4354703137/17294403 |
j-invariant |
L |
10.715496561139 |
L(r)(E,1)/r! |
Ω |
0.13412518860165 |
Real period |
R |
39.94587677996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000044047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17661a6 147a6 |
Quadratic twists by: -7 29 |