Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288r |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-132305031936 = -1 · 28 · 39 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 7- 11+ 3 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-601545,-179777493] |
[a1,a2,a3,a4,a6] |
Generators |
[897:1782:1] |
Generators of the group modulo torsion |
j |
-94034849265881783296/516816531 |
j-invariant |
L |
8.8584067985317 |
L(r)(E,1)/r! |
Ω |
0.085714139271576 |
Real period |
R |
2.8707848857214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114576c1 |
Quadratic twists by: -4 |