Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184o |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1382397185820672 = 211 · 312 · 74 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 -6 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-276555,-55949798] |
[a1,a2,a3,a4,a6] |
j |
1566789944863250/925924041 |
j-invariant |
L |
1.665557260674 |
L(r)(E,1)/r! |
Ω |
0.20819465758425 |
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 |
11592k2 92736fh2 7728e2 |
Quadratic twists by: -4 8 -3 |