Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8450q |
Isogeny class |
Conductor |
8450 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-509831700625000 = -1 · 23 · 57 · 138 |
Discriminant |
Eigenvalues |
2- 2 5+ 1 3 13+ 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42338,3507031] |
[a1,a2,a3,a4,a6] |
j |
-658489/40 |
j-invariant |
L |
6.1773603701347 |
L(r)(E,1)/r! |
Ω |
0.51478003084455 |
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 |
67600cb1 76050be1 1690c1 8450f1 |
Quadratic twists by: -4 -3 5 13 |