Atkin-Lehner |
19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53371a |
Isogeny class |
Conductor |
53371 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48048 |
Modular degree for the optimal curve |
Δ |
-421122861451 = -1 · 19 · 536 |
Discriminant |
Eigenvalues |
0 2 -3 -1 3 -4 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1873,-2003] |
[a1,a2,a3,a4,a6] |
Generators |
[10255:96739:343] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
4.5292034958617 |
L(r)(E,1)/r! |
Ω |
0.56033209148002 |
Real period |
R |
4.0415349795919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19a3 |
Quadratic twists by: 53 |