Atkin-Lehner |
3+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
9849j |
Isogeny class |
Conductor |
9849 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7.953660536274E+19 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- -4 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12884404,17790468170] |
[a1,a2,a3,a4,a6] |
Generators |
[-295:147000:1] |
Generators of the group modulo torsion |
j |
2010612953066556130993/676049990758443 |
j-invariant |
L |
1.693374178238 |
L(r)(E,1)/r! |
Ω |
0.18903831209166 |
Real period |
R |
4.4789179492277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29547y4 1407c3 |
Quadratic twists by: -3 -7 |