Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144z |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4290048 |
Modular degree for the optimal curve |
Δ |
-5.4267884628547E+20 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ 0 -3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11556699,15163116934] |
[a1,a2,a3,a4,a6] |
j |
-1070969436979596/3404825447 |
j-invariant |
L |
1.979639458697 |
L(r)(E,1)/r! |
Ω |
0.16496995600111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81144b1 81144bc1 |
Quadratic twists by: -3 -7 |