Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
64158q |
Isogeny class |
Conductor |
64158 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-15810054863192064 = -1 · 230 · 34 · 173 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 3 3 5 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2509062,1529533912] |
[a1,a2,a3,a4,a6] |
j |
-355558346868836229929/3218004246528 |
j-invariant |
L |
5.6573497601939 |
L(r)(E,1)/r! |
Ω |
0.35358436032011 |
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 |
64158h1 |
Quadratic twists by: 17 |