Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720dd |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
37253614141440000 = 223 · 39 · 54 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 6 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-312012,66435984] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:8740:1] |
Generators of the group modulo torsion |
j |
651038076963/7220000 |
j-invariant |
L |
8.5418078060381 |
L(r)(E,1)/r! |
Ω |
0.36678948734114 |
Real period |
R |
2.9110048477563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720n2 13680w2 54720cu2 |
Quadratic twists by: -4 8 -3 |