Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
79200dg |
Isogeny class |
Conductor |
79200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
188160 |
Modular degree for the optimal curve |
Δ |
-62099136000000 = -1 · 212 · 36 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 6 -4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1800,-378000] |
[a1,a2,a3,a4,a6] |
Generators |
[159484:63690652:1] |
Generators of the group modulo torsion |
j |
13824/1331 |
j-invariant |
L |
6.4668586705673 |
L(r)(E,1)/r! |
Ω |
0.29555353641519 |
Real period |
R |
10.94024918519 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999979503 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79200dy1 8800i1 3168h1 |
Quadratic twists by: -4 -3 5 |