Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966bb |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1751040 |
Modular degree for the optimal curve |
Δ |
-1.8762063015445E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 4 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1529573,757739805] |
[a1,a2,a3,a4,a6] |
Generators |
[1079:18504:1] |
Generators of the group modulo torsion |
j |
-3212327676841366369/152288236422144 |
j-invariant |
L |
10.892373727503 |
L(r)(E,1)/r! |
Ω |
0.21527101613082 |
Real period |
R |
1.2649605509861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23322e1 69966h1 |
Quadratic twists by: -3 13 |