Atkin-Lehner |
3- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9849p |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
6240 |
Modular degree for the optimal curve |
Δ |
-5234162409 = -1 · 313 · 72 · 67 |
Discriminant |
Eigenvalues |
-1 3- -1 7- -4 -4 -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,244,3177] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:21:1] [19:-131:1] |
Generators of the group modulo torsion |
j |
32778257519/106819641 |
j-invariant |
L |
4.3705755763108 |
L(r)(E,1)/r! |
Ω |
0.96207970863858 |
Real period |
R |
0.34944934212408 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29547w1 9849b1 |
Quadratic twists by: -3 -7 |