Atkin-Lehner |
2+ 3+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23232i |
Isogeny class |
Conductor |
23232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
118679393185824768 = 224 · 3 · 119 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11- -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-623553,189003201] |
[a1,a2,a3,a4,a6] |
j |
57736239625/255552 |
j-invariant |
L |
1.3333744873962 |
L(r)(E,1)/r! |
Ω |
0.33334362184903 |
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 |
23232dm3 726h3 69696bn3 2112e3 |
Quadratic twists by: -4 8 -3 -11 |