Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5985h |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
72535955625 = 38 · 54 · 72 · 192 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-29925,-1985000] |
[a1,a2,a3,a4,a6] |
j |
4065433152958801/99500625 |
j-invariant |
L |
0.72597383430776 |
L(r)(E,1)/r! |
Ω |
0.36298691715388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
95760dz2 1995c2 29925bd2 41895bu2 |
Quadratic twists by: -4 -3 5 -7 |