Atkin-Lehner |
5- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
51545b |
Isogeny class |
Conductor |
51545 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1.3545652303242E+21 |
Discriminant |
Eigenvalues |
1 -2 5- -4 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2386952,-1058473869] |
[a1,a2,a3,a4,a6] |
j |
311598183335516351/280633692015625 |
j-invariant |
L |
1.0028352027044 |
L(r)(E,1)/r! |
Ω |
0.083569600236507 |
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 |
3965a2 |
Quadratic twists by: 13 |