Atkin-Lehner |
2+ 3- 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
120768w |
Isogeny class |
Conductor |
120768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-11871977472 = -1 · 221 · 32 · 17 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 6 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-193,5279] |
[a1,a2,a3,a4,a6] |
j |
-3048625/45288 |
j-invariant |
L |
4.2992376946906 |
L(r)(E,1)/r! |
Ω |
1.0748096529543 |
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 |
120768bv1 3774m1 |
Quadratic twists by: -4 8 |