Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bs |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-312946340000000 = -1 · 28 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ 2 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48508,-4215512] |
[a1,a2,a3,a4,a6] |
Generators |
[12480073002003:788373018512650:3118535181] |
Generators of the group modulo torsion |
j |
-3155824042576/78236585 |
j-invariant |
L |
6.8389812366166 |
L(r)(E,1)/r! |
Ω |
0.16061251230487 |
Real period |
R |
21.290312748596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13300j1 10640bb1 |
Quadratic twists by: -4 5 |