Atkin-Lehner |
2- 3- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
81144bl |
Isogeny class |
Conductor |
81144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-7730906001138432 = -1 · 28 · 313 · 77 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 6 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2940,4229876] |
[a1,a2,a3,a4,a6] |
j |
128000/352107 |
j-invariant |
L |
2.6157018536399 |
L(r)(E,1)/r! |
Ω |
0.32696272414 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27048c1 11592j1 |
Quadratic twists by: -3 -7 |