Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bl |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
6.023575375865E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45068268,110304978608] |
[a1,a2,a3,a4,a6] |
Generators |
[3189009526:210119196672:389017] |
Generators of the group modulo torsion |
j |
52974743974734147769/3152005008998400 |
j-invariant |
L |
7.0695556936549 |
L(r)(E,1)/r! |
Ω |
0.09013553037697 |
Real period |
R |
9.8040634808699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720dr2 1710s2 18240x2 |
Quadratic twists by: -4 8 -3 |