Atkin-Lehner |
2- 3- 5- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
54120n |
Isogeny class |
Conductor |
54120 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.1075887766225E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76577960,254241508608] |
[a1,a2,a3,a4,a6] |
Generators |
[-5048:715680:1] |
Generators of the group modulo torsion |
j |
48499263044743695583347364/791756716467041015625 |
j-invariant |
L |
8.365363226415 |
L(r)(E,1)/r! |
Ω |
0.089522428829168 |
Real period |
R |
7.787027355227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108240h4 |
Quadratic twists by: -4 |