Atkin-Lehner |
2- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
53200bk |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3.478740815872E+19 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 1 1 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1421075,-711112750] |
[a1,a2,a3,a4,a6] |
j |
-4959007166945889/543553252480 |
j-invariant |
L |
0.54970398712066 |
L(r)(E,1)/r! |
Ω |
0.068712998324698 |
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 |
6650g1 10640p1 |
Quadratic twists by: -4 5 |