Atkin-Lehner |
3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
81225bg |
Isogeny class |
Conductor |
81225 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.4483945654492E+23 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31070255,-62256171378] |
[a1,a2,a3,a4,a6] |
Generators |
[-1576952:-32452155:512] |
Generators of the group modulo torsion |
j |
6189976379881/456890625 |
j-invariant |
L |
2.1933251584826 |
L(r)(E,1)/r! |
Ω |
0.064244130893738 |
Real period |
R |
8.5351187968627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000805 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27075f2 16245c2 4275g2 |
Quadratic twists by: -3 5 -19 |