Atkin-Lehner |
2- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
81356k |
Isogeny class |
Conductor |
81356 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
32913971981724416 = 28 · 11 · 438 |
Discriminant |
Eigenvalues |
2- 2 2 -4 11- -2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-81972,2353640] |
[a1,a2,a3,a4,a6] |
j |
37642192/20339 |
j-invariant |
L |
0.9665690602149 |
L(r)(E,1)/r! |
Ω |
0.32218970012005 |
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 |
1892e2 |
Quadratic twists by: -43 |