Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bk |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1697280 |
Modular degree for the optimal curve |
Δ |
-6.376577988349E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 2 -2 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3260241,4460322051] |
[a1,a2,a3,a4,a6] |
Generators |
[-1503571456830:-167087682013923:2082440933] |
Generators of the group modulo torsion |
j |
-328568038616615609088/546688785009341767 |
j-invariant |
L |
5.0720576898314 |
L(r)(E,1)/r! |
Ω |
0.11985342297885 |
Real period |
R |
21.159419413188 |
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 |
8892j1 3952c1 |
Quadratic twists by: -4 -3 |