Atkin-Lehner |
3- 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39039w |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
9831744 |
Modular degree for the optimal curve |
Δ |
2.0966243873431E+23 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 11- 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-509839711,-4430955601291] |
[a1,a2,a3,a4,a6] |
j |
1382084250541230782125/19771083137421 |
j-invariant |
L |
1.2390993230908 |
L(r)(E,1)/r! |
Ω |
0.031771777516741 |
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 |
117117z1 39039y1 |
Quadratic twists by: -3 13 |