Atkin-Lehner |
2- 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16720be |
Isogeny class |
Conductor |
16720 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-85606400000 = -1 · 217 · 55 · 11 · 19 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11+ -1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7760,-266092] |
[a1,a2,a3,a4,a6] |
j |
-12618417497041/20900000 |
j-invariant |
L |
2.5430584993941 |
L(r)(E,1)/r! |
Ω |
0.25430584993941 |
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 |
2090n1 66880ck1 83600bl1 |
Quadratic twists by: -4 8 5 |