Atkin-Lehner |
2- 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68112cc |
Isogeny class |
Conductor |
68112 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
49653648 = 24 · 38 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3- 2 1 11- 0 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,2063] |
[a1,a2,a3,a4,a6] |
j |
279738112/4257 |
j-invariant |
L |
4.020345541403 |
L(r)(E,1)/r! |
Ω |
2.0101727782831 |
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 |
17028h1 22704s1 |
Quadratic twists by: -4 -3 |