Atkin-Lehner |
2- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
496d |
Isogeny class |
Conductor |
496 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-476656 = -1 · 24 · 313 |
Discriminant |
Eigenvalues |
2- 2 -3 1 6 2 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18,11] |
[a1,a2,a3,a4,a6] |
j |
38112512/29791 |
j-invariant |
L |
1.8977267714298 |
L(r)(E,1)/r! |
Ω |
1.8977267714298 |
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 |
124a2 1984h2 4464u2 12400p2 |
Quadratic twists by: -4 8 -3 5 |