Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048ch |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-5.0993515310856E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 11- 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1890448,1057169684] |
[a1,a2,a3,a4,a6] |
j |
-182414014585448388625/12449588698939392 |
j-invariant |
L |
3.1485937754439 |
L(r)(E,1)/r! |
Ω |
0.19678711099386 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006u1 |
Quadratic twists by: -4 |