Atkin-Lehner |
2- 7+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872v |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.6429757039048E+24 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 0 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-250442232,1527577764976] |
[a1,a2,a3,a4,a6] |
Generators |
[10175100:18253611008:15625] |
Generators of the group modulo torsion |
j |
-424117763803744534252810873/645257740211135184896 |
j-invariant |
L |
3.3426714186693 |
L(r)(E,1)/r! |
Ω |
0.080911608332844 |
Real period |
R |
5.1640788742565 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001434 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10234g3 |
Quadratic twists by: -4 |