Atkin-Lehner |
43- 67- |
Signs for the Atkin-Lehner involutions |
Class |
123883b |
Isogeny class |
Conductor |
123883 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
405720 |
Modular degree for the optimal curve |
Δ |
-423531324283 = -1 · 436 · 67 |
Discriminant |
Eigenvalues |
-2 2 -2 2 -4 2 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-22804,1333454] |
[a1,a2,a3,a4,a6] |
Generators |
[2073:4609:27] |
Generators of the group modulo torsion |
j |
-207474688/67 |
j-invariant |
L |
4.0689825204808 |
L(r)(E,1)/r! |
Ω |
0.92413169874975 |
Real period |
R |
2.201516543188 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000183625 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67a1 |
Quadratic twists by: -43 |