Atkin-Lehner |
2- 3- 5+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510p |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
745158965760000 = 212 · 32 · 54 · 114 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 6 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-193646,-32788860] |
[a1,a2,a3,a4,a6] |
j |
803062680096933685729/745158965760000 |
j-invariant |
L |
5.4623917701489 |
L(r)(E,1)/r! |
Ω |
0.22759965708954 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
124080bb2 46530m2 77550g2 |
Quadratic twists by: -4 -3 5 |