Atkin-Lehner |
3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
53361bo |
Isogeny class |
Conductor |
53361 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6978144480103329687 = 314 · 77 · 116 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11- -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2082191,-1148929680] |
[a1,a2,a3,a4,a6] |
j |
6570725617/45927 |
j-invariant |
L |
1.0058711733 |
L(r)(E,1)/r! |
Ω |
0.12573389652965 |
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 |
17787h4 7623p4 441c4 |
Quadratic twists by: -3 -7 -11 |