Atkin-Lehner |
3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16905f |
Isogeny class |
Conductor |
16905 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-2219198380875 = -1 · 38 · 53 · 76 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 7- -2 6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-4916,-149164] |
[a1,a2,a3,a4,a6] |
j |
-111701610496/18862875 |
j-invariant |
L |
0.56493128635963 |
L(r)(E,1)/r! |
Ω |
0.28246564317981 |
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 |
50715bt1 84525cp1 345f1 |
Quadratic twists by: -3 5 -7 |