Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39984dv |
Isogeny class |
Conductor |
39984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-221187649536 = -1 · 212 · 33 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 3 1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,523,-21981] |
[a1,a2,a3,a4,a6] |
Generators |
[30:147:1] |
Generators of the group modulo torsion |
j |
32768/459 |
j-invariant |
L |
5.8577848696526 |
L(r)(E,1)/r! |
Ω |
0.48760762918099 |
Real period |
R |
2.0022194482798 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2499d1 119952fm1 816f1 |
Quadratic twists by: -4 -3 -7 |