Atkin-Lehner |
23- 83- |
Signs for the Atkin-Lehner involutions |
Class |
43907b |
Isogeny class |
Conductor |
43907 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24640 |
Modular degree for the optimal curve |
Δ |
-12286978787 = -1 · 236 · 83 |
Discriminant |
Eigenvalues |
-1 -1 2 3 -3 -6 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,518,3018] |
[a1,a2,a3,a4,a6] |
Generators |
[36:246:1] |
Generators of the group modulo torsion |
j |
103823/83 |
j-invariant |
L |
2.65402926926 |
L(r)(E,1)/r! |
Ω |
0.81619393836757 |
Real period |
R |
0.81292850402896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83a1 |
Quadratic twists by: -23 |