Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450q |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-815730721000000000 = -1 · 29 · 59 · 138 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,232287,5704031] |
[a1,a2,a3,a4,a6] |
j |
108750551/64000 |
j-invariant |
L |
6.1773603701347 |
L(r)(E,1)/r! |
Ω |
0.17159334361485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67600cb2 76050be2 1690c2 8450f2 |
Quadratic twists by: -4 -3 5 13 |