Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720bl |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.5395000968207E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-710463468,7288854554288] |
[a1,a2,a3,a4,a6] |
Generators |
[8577291308476:-132518053345552:517781627] |
Generators of the group modulo torsion |
j |
207530301091125281552569/805586668007040 |
j-invariant |
L |
7.0695556936549 |
L(r)(E,1)/r! |
Ω |
0.09013553037697 |
Real period |
R |
19.60812696174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720dr4 1710s4 18240x3 |
Quadratic twists by: -4 8 -3 |