Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bh |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
7.5192156275785E+21 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6657566,-5127724339] |
[a1,a2,a3,a4,a6] |
j |
1109328585347359/255601060128 |
j-invariant |
L |
3.8218434266388 |
L(r)(E,1)/r! |
Ω |
0.095546085665977 |
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 |
9114m2 27342bo2 |
Quadratic twists by: -3 -7 |