Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9196d |
Isogeny class |
Conductor |
9196 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-1800926395136 = -1 · 28 · 117 · 192 |
Discriminant |
Eigenvalues |
2- -1 1 0 11- 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-645,65089] |
[a1,a2,a3,a4,a6] |
Generators |
[15:242:1] |
Generators of the group modulo torsion |
j |
-65536/3971 |
j-invariant |
L |
3.8427684083577 |
L(r)(E,1)/r! |
Ω |
0.69133446510474 |
Real period |
R |
0.23160330987401 |
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 |
36784bd1 82764h1 836a1 |
Quadratic twists by: -4 -3 -11 |