Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4732b |
Isogeny class |
Conductor |
4732 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-269981267256064 = -1 · 28 · 75 · 137 |
Discriminant |
Eigenvalues |
2- 0 3 7+ 2 13+ -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98696,11960468] |
[a1,a2,a3,a4,a6] |
j |
-86044336128/218491 |
j-invariant |
L |
2.20922778105 |
L(r)(E,1)/r! |
Ω |
0.55230694526249 |
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 |
18928v1 75712d1 42588k1 118300n1 |
Quadratic twists by: -4 8 -3 5 |