Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
10764a |
Isogeny class |
Conductor |
10764 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
238302888475392 = 28 · 39 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19575,748062] |
[a1,a2,a3,a4,a6] |
j |
164625750000/47293129 |
j-invariant |
L |
1.0353629209276 |
L(r)(E,1)/r! |
Ω |
0.51768146046381 |
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 |
43056t2 10764c2 |
Quadratic twists by: -4 -3 |