Atkin-Lehner |
3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
5985h |
Isogeny class |
Conductor |
5985 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7271775 = 37 · 52 · 7 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-478800,-127400675] |
[a1,a2,a3,a4,a6] |
j |
16651720753282540801/9975 |
j-invariant |
L |
0.72597383430776 |
L(r)(E,1)/r! |
Ω |
0.18149345857694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760dz4 1995c4 29925bd4 41895bu4 |
Quadratic twists by: -4 -3 5 -7 |