Atkin-Lehner |
2+ 3- 11- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
19734k |
Isogeny class |
Conductor |
19734 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-115020384244736256 = -1 · 28 · 314 · 11 · 135 · 23 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11- 13+ 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1380380,-624560038] |
[a1,a2,a3,a4,a6] |
j |
-290883598824661243104313/115020384244736256 |
j-invariant |
L |
1.9499238999654 |
L(r)(E,1)/r! |
Ω |
0.069640139284479 |
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 |
59202w1 |
Quadratic twists by: -3 |