Atkin-Lehner |
2+ 3+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
23064b |
Isogeny class |
Conductor |
23064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
159169936971389184 = 28 · 36 · 318 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-273244,51607444] |
[a1,a2,a3,a4,a6] |
j |
9930407632/700569 |
j-invariant |
L |
0.31726629782999 |
L(r)(E,1)/r! |
Ω |
0.31726629783004 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
46128m2 69192bj2 744b2 |
Quadratic twists by: -4 -3 -31 |