Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720bx |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.165090659582E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17948172,-27987358736] |
[a1,a2,a3,a4,a6] |
Generators |
[-3312132356:-34106774040:1225043] |
Generators of the group modulo torsion |
j |
3345930611358906241/165622259047500 |
j-invariant |
L |
8.3448958038645 |
L(r)(E,1)/r! |
Ω |
0.073574407834511 |
Real period |
R |
14.177646904548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999441 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720fc3 1710g4 18240bd3 |
Quadratic twists by: -4 8 -3 |