Atkin-Lehner |
2- 3+ 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
42720g |
Isogeny class |
Conductor |
42720 |
Conductor |
∏ cp |
12 |
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 |
[59:300:1] |
Generators of the group modulo torsion |
j |
-21392344576/337921875 |
j-invariant |
L |
5.6041550486267 |
L(r)(E,1)/r! |
Ω |
0.36669759490981 |
Real period |
R |
1.2735641771345 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42720c1 85440p1 128160l1 |
Quadratic twists by: -4 8 -3 |