Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039i |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-1.6538174239692E+19 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- 13+ 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-585673,260609942] |
[a1,a2,a3,a4,a6] |
j |
-4602875775513625/3426316276383 |
j-invariant |
L |
0.80853800781938 |
L(r)(E,1)/r! |
Ω |
0.20213450194272 |
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 |
117117o1 3003d1 |
Quadratic twists by: -3 13 |