Atkin-Lehner |
2+ 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562h |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
43339145084928 = 216 · 38 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-170856,-27138240] |
[a1,a2,a3,a4,a6] |
j |
756638294163486337/59450130432 |
j-invariant |
L |
0.93929912048283 |
L(r)(E,1)/r! |
Ω |
0.23482478012071 |
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 |
7854o1 |
Quadratic twists by: -3 |