Atkin-Lehner |
2- 3- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
23562z |
Isogeny class |
Conductor |
23562 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
Δ |
-5.5291716200913E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 11+ 0 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,173281,-1131029625] |
[a1,a2,a3,a4,a6] |
Generators |
[1985:82860:1] |
Generators of the group modulo torsion |
j |
789316843088965463/758459755842421248 |
j-invariant |
L |
8.9098634997024 |
L(r)(E,1)/r! |
Ω |
0.076468782180112 |
Real period |
R |
1.6182826590734 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7854c2 |
Quadratic twists by: -3 |