Atkin-Lehner |
2- 3- 5- 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
15510q |
Isogeny class |
Conductor |
15510 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-12912422042609100 = -1 · 22 · 32 · 52 · 113 · 476 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4050,-5468400] |
[a1,a2,a3,a4,a6] |
j |
-7346753758663201/12912422042609100 |
j-invariant |
L |
6.4991605065656 |
L(r)(E,1)/r! |
Ω |
0.18053223629349 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124080bq4 46530k4 77550c4 |
Quadratic twists by: -4 -3 5 |