Atkin-Lehner |
3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9849k |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8568 |
Modular degree for the optimal curve |
Δ |
-10428525009 = -1 · 33 · 78 · 67 |
Discriminant |
Eigenvalues |
1 3- 3 7+ 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3652,84767] |
[a1,a2,a3,a4,a6] |
j |
-934029817/1809 |
j-invariant |
L |
3.8573904219989 |
L(r)(E,1)/r! |
Ω |
1.285796807333 |
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 |
29547h1 9849e1 |
Quadratic twists by: -3 -7 |