Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720da |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
21012480000 = 216 · 33 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-47532,-3988656] |
[a1,a2,a3,a4,a6] |
Generators |
[258:960:1] |
Generators of the group modulo torsion |
j |
6711788809548/11875 |
j-invariant |
L |
6.3659773841918 |
L(r)(E,1)/r! |
Ω |
0.32333526839189 |
Real period |
R |
2.4610590022144 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000185 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720j1 13680a1 54720cr1 |
Quadratic twists by: -4 8 -3 |