Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
53900x |
Isogeny class |
Conductor |
53900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-15345900262000 = -1 · 24 · 53 · 78 · 113 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11+ 1 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12005,540225] |
[a1,a2,a3,a4,a6] |
Generators |
[0:735:1] |
Generators of the group modulo torsion |
j |
-16595712/1331 |
j-invariant |
L |
5.4183350053612 |
L(r)(E,1)/r! |
Ω |
0.68557307289164 |
Real period |
R |
1.3172276886735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000056 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53900y1 53900bb1 |
Quadratic twists by: 5 -7 |