Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10404i |
Isogeny class |
Conductor |
10404 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
182784 |
Modular degree for the optimal curve |
Δ |
-4.8401249029204E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 2 -3 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117912,-335086252] |
[a1,a2,a3,a4,a6] |
Generators |
[16570512935:-518459127869:12977875] |
Generators of the group modulo torsion |
j |
-8192/2187 |
j-invariant |
L |
5.0834136816818 |
L(r)(E,1)/r! |
Ω |
0.0898566177021 |
Real period |
R |
14.143125491699 |
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 |
41616cc1 3468b1 10404j1 |
Quadratic twists by: -4 -3 17 |