Atkin-Lehner |
2+ 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
42720c |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-1384128000000 = -1 · 212 · 35 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-925,57323] |
[a1,a2,a3,a4,a6] |
Generators |
[41:300:1] |
Generators of the group modulo torsion |
j |
-21392344576/337921875 |
j-invariant |
L |
8.5563804278543 |
L(r)(E,1)/r! |
Ω |
0.72208335069662 |
Real period |
R |
0.19749290760757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42720g1 85440b1 128160bd1 |
Quadratic twists by: -4 8 -3 |