Atkin-Lehner |
3+ 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
39039q |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
336960 |
Modular degree for the optimal curve |
Δ |
1320355612432857 = 3 · 73 · 112 · 139 |
Discriminant |
Eigenvalues |
1 3+ -4 7- 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-39042,2383815] |
[a1,a2,a3,a4,a6] |
j |
620650477/124509 |
j-invariant |
L |
1.3716233342029 |
L(r)(E,1)/r! |
Ω |
0.45720777806832 |
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 |
117117bn1 39039e1 |
Quadratic twists by: -3 13 |