Atkin-Lehner |
2+ 31+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
81344d |
Isogeny class |
Conductor |
81344 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2582183936 = 216 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 2 2 -4 -2 -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3457,-77055] |
[a1,a2,a3,a4,a6] |
j |
69737687428/39401 |
j-invariant |
L |
1.2452569271421 |
L(r)(E,1)/r! |
Ω |
0.62262846104563 |
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 |
81344j2 10168a2 |
Quadratic twists by: -4 8 |