Atkin-Lehner |
2- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
57152q |
Isogeny class |
Conductor |
57152 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20992 |
Modular degree for the optimal curve |
Δ |
-1375305728 = -1 · 215 · 19 · 472 |
Discriminant |
Eigenvalues |
2- -1 -2 -3 2 -1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-609,-5855] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-376:1] |
Generators of the group modulo torsion |
j |
-763551944/41971 |
j-invariant |
L |
2.9836330646367 |
L(r)(E,1)/r! |
Ω |
0.47892870432558 |
Real period |
R |
0.77872578884286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000112 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57152m1 28576a1 |
Quadratic twists by: -4 8 |