Atkin-Lehner |
2- 3+ 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64272j |
Isogeny class |
Conductor |
64272 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-3998232576 = -1 · 212 · 36 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 0 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,395,253] |
[a1,a2,a3,a4,a6] |
j |
1659797504/976131 |
j-invariant |
L |
1.6898587659979 |
L(r)(E,1)/r! |
Ω |
0.84492938221255 |
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 |
4017b1 |
Quadratic twists by: -4 |