Atkin-Lehner |
3+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9849c |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-31285575027 = -1 · 34 · 78 · 67 |
Discriminant |
Eigenvalues |
0 3+ 2 7- 0 0 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1437,-22156] |
[a1,a2,a3,a4,a6] |
j |
-2791309312/265923 |
j-invariant |
L |
1.5423933661761 |
L(r)(E,1)/r! |
Ω |
0.38559834154403 |
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 |
29547k1 1407d1 |
Quadratic twists by: -3 -7 |