Atkin-Lehner |
3+ 5+ 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
55275f |
Isogeny class |
Conductor |
55275 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
501149785640625 = 310 · 56 · 112 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 11+ -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-24613,1013906] |
[a1,a2,a3,a4,a6] |
j |
105535468883593/32073586281 |
j-invariant |
L |
0.96981687252028 |
L(r)(E,1)/r! |
Ω |
0.4849084352458 |
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 |
2211e2 |
Quadratic twists by: 5 |