Atkin-Lehner |
2+ 3- 5+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
72270l |
Isogeny class |
Conductor |
72270 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4.6842197041289E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38549790,91545023556] |
[a1,a2,a3,a4,a6] |
j |
8690849711816811503631841/64255414322756250000 |
j-invariant |
L |
1.822867635697 |
L(r)(E,1)/r! |
Ω |
0.11392922814678 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24090l6 |
Quadratic twists by: -3 |