Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
39039k |
Isogeny class |
Conductor |
39039 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
1100736 |
Modular degree for the optimal curve |
Δ |
-4339685545671919443 = -1 · 3 · 7 · 117 · 139 |
Discriminant |
Eigenvalues |
2 3+ 0 7+ 11- 13+ -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,318002,-72779445] |
[a1,a2,a3,a4,a6] |
j |
736803680768000/899079608427 |
j-invariant |
L |
1.8444701886966 |
L(r)(E,1)/r! |
Ω |
0.13174787061936 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117117v1 3003f1 |
Quadratic twists by: -3 13 |