Atkin-Lehner |
2- 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158bl |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-2051296720349036544 = -1 · 218 · 316 · 173 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 -1 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,240901,51761937] |
[a1,a2,a3,a4,a6] |
Generators |
[-146:3745:1] |
Generators of the group modulo torsion |
j |
314697029628207871/417524266303488 |
j-invariant |
L |
13.960554431773 |
L(r)(E,1)/r! |
Ω |
0.17619099815104 |
Real period |
R |
0.13756136193331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64158bg1 |
Quadratic twists by: 17 |