Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610t |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
5862293314453125000 = 23 · 33 · 512 · 113 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1627388,790397138] |
[a1,a2,a3,a4,a6] |
j |
476646772170172569823801/5862293314453125000 |
j-invariant |
L |
1.4430300533919 |
L(r)(E,1)/r! |
Ω |
0.24050500889864 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
44880br4 16830cd4 28050cm4 61710cz4 |
Quadratic twists by: -4 -3 5 -11 |