Atkin-Lehner |
2+ 3- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
126582r |
Isogeny class |
Conductor |
126582 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
580608 |
Modular degree for the optimal curve |
Δ |
-12940440391728 = -1 · 24 · 33 · 177 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 -5 2 -6 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-31652,2171666] |
[a1,a2,a3,a4,a6] |
Generators |
[-163:1815:1] [-27:1747:1] |
Generators of the group modulo torsion |
j |
-145282709593/536112 |
j-invariant |
L |
7.7534654684654 |
L(r)(E,1)/r! |
Ω |
0.71264338011214 |
Real period |
R |
0.45332780746839 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005354 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7446b1 |
Quadratic twists by: 17 |