Atkin-Lehner |
2+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
39872a |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-279104 = -1 · 26 · 72 · 89 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ -2 4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,16,14] |
[a1,a2,a3,a4,a6] |
Generators |
[10:49:8] |
Generators of the group modulo torsion |
j |
6644672/4361 |
j-invariant |
L |
7.8870807657482 |
L(r)(E,1)/r! |
Ω |
1.9336464191356 |
Real period |
R |
2.0394319994838 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39872n1 19936f1 |
Quadratic twists by: -4 8 |