Atkin-Lehner |
2+ 5- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200w |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-834176000 = -1 · 210 · 53 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ -1 5- 7+ 2 6 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,-1568] |
[a1,a2,a3,a4,a6] |
Generators |
[22:70:1] |
Generators of the group modulo torsion |
j |
-4121204/6517 |
j-invariant |
L |
4.817691802277 |
L(r)(E,1)/r! |
Ω |
0.62799026490112 |
Real period |
R |
1.9179006712105 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26600o1 53200bb1 |
Quadratic twists by: -4 5 |