Atkin-Lehner |
2- 3- 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
35178w |
Isogeny class |
Conductor |
35178 |
Conductor |
∏ cp |
960 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-1.9856219193478E+20 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 11- 13- -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7306734,7631652996] |
[a1,a2,a3,a4,a6] |
Generators |
[1500:-7614:1] |
Generators of the group modulo torsion |
j |
-43141337725069475786490337/198562191934781435904 |
j-invariant |
L |
11.464415668526 |
L(r)(E,1)/r! |
Ω |
0.17959844640907 |
Real period |
R |
0.066493334956323 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105534o1 |
Quadratic twists by: -3 |