Atkin-Lehner |
2+ 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
64448d |
Isogeny class |
Conductor |
64448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24064 |
Modular degree for the optimal curve |
Δ |
-626950144 = -1 · 215 · 192 · 53 |
Discriminant |
Eigenvalues |
2+ 0 3 -2 5 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-716,-7472] |
[a1,a2,a3,a4,a6] |
j |
-1238833224/19133 |
j-invariant |
L |
1.8441775412988 |
L(r)(E,1)/r! |
Ω |
0.46104438450728 |
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 |
64448i1 32224b1 |
Quadratic twists by: -4 8 |