Atkin-Lehner |
3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
11661j |
Isogeny class |
Conductor |
11661 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-6.5418374528184E+19 |
Discriminant |
Eigenvalues |
1 3- -2 4 4 13+ 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3312742,2352879011] |
[a1,a2,a3,a4,a6] |
j |
-832964037319114273/13553130966687 |
j-invariant |
L |
3.9280575284677 |
L(r)(E,1)/r! |
Ω |
0.19640287642339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34983l1 897e1 |
Quadratic twists by: -3 13 |