Atkin-Lehner |
2+ 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610t |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
864 |
Product of Tamagawa factors cp |
Δ |
373234243041000000 = 26 · 36 · 56 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-189908,-12291694] |
[a1,a2,a3,a4,a6] |
j |
757443433548897303481/373234243041000000 |
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 |
12 |
Number of elements in the torsion subgroup |
Twists |
44880br2 16830cd2 28050cm2 61710cz2 |
Quadratic twists by: -4 -3 5 -11 |