Atkin-Lehner |
2+ 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864d |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
461769175296 = 28 · 36 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4412,109440] |
[a1,a2,a3,a4,a6] |
j |
37109806448848/1803785841 |
j-invariant |
L |
0.92523069117708 |
L(r)(E,1)/r! |
Ω |
0.92523069117708 |
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 |
3432e2 27456cg2 20592o2 75504c2 |
Quadratic twists by: -4 8 -3 -11 |