Atkin-Lehner |
2- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
39872bh |
Isogeny class |
Conductor |
39872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2210782784 = -1 · 26 · 72 · 893 |
Discriminant |
Eigenvalues |
2- 1 3 7- -4 -2 1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364,-3626] |
[a1,a2,a3,a4,a6] |
j |
-83568086848/34543481 |
j-invariant |
L |
3.2131372524274 |
L(r)(E,1)/r! |
Ω |
0.53552287541819 |
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 |
39872bc1 19936e1 |
Quadratic twists by: -4 8 |