Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9792bl |
Isogeny class |
Conductor |
9792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-5203870272 = -1 · 26 · 314 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-39,-3472] |
[a1,a2,a3,a4,a6] |
Generators |
[61260:143198:3375] |
Generators of the group modulo torsion |
j |
-140608/111537 |
j-invariant |
L |
5.3874219088577 |
L(r)(E,1)/r! |
Ω |
0.61326999536967 |
Real period |
R |
8.7847472557504 |
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 |
9792bm1 4896c4 3264v1 |
Quadratic twists by: -4 8 -3 |