Atkin-Lehner |
2- 3- 17+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
126072n |
Isogeny class |
Conductor |
126072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-183812976 = -1 · 24 · 38 · 17 · 103 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 3 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,141,-101] |
[a1,a2,a3,a4,a6] |
Generators |
[5:27:1] |
Generators of the group modulo torsion |
j |
26578688/15759 |
j-invariant |
L |
5.7285592690475 |
L(r)(E,1)/r! |
Ω |
1.052231544035 |
Real period |
R |
0.68052504826676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998092183 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42024e1 |
Quadratic twists by: -3 |