Atkin-Lehner |
3+ 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
81627o |
Isogeny class |
Conductor |
81627 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
41515410573 = 36 · 72 · 133 · 232 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 2 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3565,-82844] |
[a1,a2,a3,a4,a6] |
j |
2281721267125/18896409 |
j-invariant |
L |
2.4725537524062 |
L(r)(E,1)/r! |
Ω |
0.61813843856844 |
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 |
81627j2 |
Quadratic twists by: 13 |