Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312i |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
39600425829888 = 29 · 34 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 11- -6 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11656,381988] |
[a1,a2,a3,a4,a6] |
j |
193100552/43659 |
j-invariant |
L |
2.4359655589144 |
L(r)(E,1)/r! |
Ω |
0.60899137510334 |
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 |
81312bx2 7392m2 |
Quadratic twists by: -4 -11 |