Atkin-Lehner |
2+ 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
81168ba |
Isogeny class |
Conductor |
81168 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-345803762829312 = -1 · 211 · 310 · 192 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 0 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136928,-19568556] |
[a1,a2,a3,a4,a6] |
j |
-138635267880973250/168849493569 |
j-invariant |
L |
4.9633454760426 |
L(r)(E,1)/r! |
Ω |
0.12408363748954 |
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 |
40584m2 |
Quadratic twists by: -4 |