Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42480f |
Isogeny class |
Conductor |
42480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16384 |
Modular degree for the optimal curve |
Δ |
-1393556400 = -1 · 24 · 310 · 52 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,42,-1793] |
[a1,a2,a3,a4,a6] |
j |
702464/119475 |
j-invariant |
L |
1.4338436663945 |
L(r)(E,1)/r! |
Ω |
0.71692183321901 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21240e1 14160k1 |
Quadratic twists by: -4 -3 |