Atkin-Lehner |
2- 3+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53592t |
Isogeny class |
Conductor |
53592 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
170951536623909888 = 210 · 314 · 73 · 112 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-864256,308899228] |
[a1,a2,a3,a4,a6] |
j |
69719051133303570436/166944859984287 |
j-invariant |
L |
3.8703929239939 |
L(r)(E,1)/r! |
Ω |
0.32253274363596 |
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 |
107184bb2 |
Quadratic twists by: -4 |