Atkin-Lehner |
2+ 3- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
39882x |
Isogeny class |
Conductor |
39882 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
-3.4452916546126E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 -1 6 -3 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,722723,154417784] |
[a1,a2,a3,a4,a6] |
Generators |
[29571:5072446:1] |
Generators of the group modulo torsion |
j |
144458253878541513047/119214244104241152 |
j-invariant |
L |
4.5624326052185 |
L(r)(E,1)/r! |
Ω |
0.13367563017997 |
Real period |
R |
2.8442186252633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119646bz1 39882p1 |
Quadratic twists by: -3 17 |