Atkin-Lehner |
2- 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872ba |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
979200 |
Modular degree for the optimal curve |
Δ |
-8115725744 = -1 · 24 · 74 · 173 · 43 |
Discriminant |
Eigenvalues |
2- -3 -1 7- 0 5 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-875248,315169951] |
[a1,a2,a3,a4,a6] |
Generators |
[545:196:1] |
Generators of the group modulo torsion |
j |
-4634438364034004680704/507232859 |
j-invariant |
L |
4.065758147655 |
L(r)(E,1)/r! |
Ω |
0.74136837847672 |
Real period |
R |
1.3710316823392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017096 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20468a1 |
Quadratic twists by: -4 |