Atkin-Lehner |
3- 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
9849m |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
19800 |
Modular degree for the optimal curve |
Δ |
-1915443369 = -1 · 35 · 76 · 67 |
Discriminant |
Eigenvalues |
1 3- 3 7- 0 -4 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-38932,-2959897] |
[a1,a2,a3,a4,a6] |
Generators |
[13789:1612148:1] |
Generators of the group modulo torsion |
j |
-55467626237353/16281 |
j-invariant |
L |
7.3592025257322 |
L(r)(E,1)/r! |
Ω |
0.16993945025455 |
Real period |
R |
8.6609701452007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29547r1 201c1 |
Quadratic twists by: -3 -7 |