Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
29736q |
Isogeny class |
Conductor |
29736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-17920522139184 = -1 · 24 · 318 · 72 · 59 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6486,-32555] |
[a1,a2,a3,a4,a6] |
j |
2587063175168/1536395931 |
j-invariant |
L |
1.6148630823287 |
L(r)(E,1)/r! |
Ω |
0.40371577058235 |
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 |
59472p1 9912g1 |
Quadratic twists by: -4 -3 |