Atkin-Lehner |
2- 3- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
53064p |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
40849940736 = 28 · 39 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11+ -4 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-86799,-9842830] |
[a1,a2,a3,a4,a6] |
j |
387525587875792/218889 |
j-invariant |
L |
1.1125790546579 |
L(r)(E,1)/r! |
Ω |
0.27814476405139 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128n2 17688c2 |
Quadratic twists by: -4 -3 |