Atkin-Lehner |
2+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
496b |
Isogeny class |
Conductor |
496 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
16 |
Modular degree for the optimal curve |
Δ |
-496 = -1 · 24 · 31 |
Discriminant |
Eigenvalues |
2+ 2 1 3 2 -2 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,0,-1] |
[a1,a2,a3,a4,a6] |
j |
-256/31 |
j-invariant |
L |
2.3224405827894 |
L(r)(E,1)/r! |
Ω |
2.3224405827894 |
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 |
248a1 1984k1 4464h1 12400j1 |
Quadratic twists by: -4 8 -3 5 |