Atkin-Lehner |
2+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43706a |
Isogeny class |
Conductor |
43706 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-102359539412 = -1 · 22 · 135 · 413 |
Discriminant |
Eigenvalues |
2+ 1 4 -2 0 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31749,-2180076] |
[a1,a2,a3,a4,a6] |
Generators |
[14787:1790616:1] |
Generators of the group modulo torsion |
j |
-51350258097809/1485172 |
j-invariant |
L |
6.6251625641893 |
L(r)(E,1)/r! |
Ω |
0.17882899312303 |
Real period |
R |
9.2618686272281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43706j2 |
Quadratic twists by: 41 |