Atkin-Lehner |
2- 5+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86450bf |
Isogeny class |
Conductor |
86450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-22027460000000 = -1 · 28 · 57 · 73 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 1 5+ 7+ -6 13- 5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,787,-225583] |
[a1,a2,a3,a4,a6] |
Generators |
[122:-1361:1] |
Generators of the group modulo torsion |
j |
3449795831/1409757440 |
j-invariant |
L |
10.296234814646 |
L(r)(E,1)/r! |
Ω |
0.3180016366491 |
Real period |
R |
0.50590516020118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002837 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17290d1 |
Quadratic twists by: 5 |