Atkin-Lehner |
2- 3- 11+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
81576k |
Isogeny class |
Conductor |
81576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8317859463834624 = -1 · 210 · 38 · 11 · 1034 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12819,4423390] |
[a1,a2,a3,a4,a6] |
Generators |
[-3905:273672:125] |
Generators of the group modulo torsion |
j |
-312074777668/11142537219 |
j-invariant |
L |
9.1884188377641 |
L(r)(E,1)/r! |
Ω |
0.34479058899734 |
Real period |
R |
6.6623184693275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001366 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27192a3 |
Quadratic twists by: -3 |