Atkin-Lehner |
2- 3+ 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43152l |
Isogeny class |
Conductor |
43152 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-24459453923328 = -1 · 220 · 33 · 29 · 313 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 3 -4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40488,-3131280] |
[a1,a2,a3,a4,a6] |
j |
-1792063785219625/5971546368 |
j-invariant |
L |
0.33649640776001 |
L(r)(E,1)/r! |
Ω |
0.16824820394672 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5394e1 129456bq1 |
Quadratic twists by: -4 -3 |