Atkin-Lehner |
2- 3- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
52896h |
Isogeny class |
Conductor |
52896 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-165130309632 = -1 · 212 · 3 · 19 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-817,-21793] |
[a1,a2,a3,a4,a6] |
Generators |
[45577:512604:343] |
Generators of the group modulo torsion |
j |
-14742169408/40315017 |
j-invariant |
L |
8.5934119598915 |
L(r)(E,1)/r! |
Ω |
0.41430684430334 |
Real period |
R |
5.1854151566901 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52896e2 105792bc1 |
Quadratic twists by: -4 8 |