Atkin-Lehner |
2+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720o |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-359218750000 = -1 · 24 · 510 · 112 · 19 |
Discriminant |
Eigenvalues |
2+ 2 5- 4 11+ -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-275,-28798] |
[a1,a2,a3,a4,a6] |
Generators |
[2522:44625:8] |
Generators of the group modulo torsion |
j |
-144271353856/22451171875 |
j-invariant |
L |
8.1255950529392 |
L(r)(E,1)/r! |
Ω |
0.42539985475694 |
Real period |
R |
3.820215245528 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8360q1 66880co1 83600n1 |
Quadratic twists by: -4 8 5 |