Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27342o |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4.4364154639303E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-55300086,-158237661996] |
[a1,a2,a3,a4,a6] |
j |
218064699967398378193/51726898829088 |
j-invariant |
L |
1.7716350468307 |
L(r)(E,1)/r! |
Ω |
0.055363595213447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9114ba3 3906b3 |
Quadratic twists by: -3 -7 |