Atkin-Lehner |
2+ 3- 37+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
16206c |
Isogeny class |
Conductor |
16206 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
1227028084992 = 28 · 32 · 372 · 733 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -4 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8697,306844] |
[a1,a2,a3,a4,a6] |
j |
72737829440921737/1227028084992 |
j-invariant |
L |
1.7292370151727 |
L(r)(E,1)/r! |
Ω |
0.86461850758633 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129648n1 48618d1 |
Quadratic twists by: -4 -3 |