Atkin-Lehner |
2+ 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16854g |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
247104 |
Modular degree for the optimal curve |
Δ |
-21652275729475584 = -1 · 211 · 32 · 537 |
Discriminant |
Eigenvalues |
2+ 3- 3 -4 -5 -2 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33767,7468778] |
[a1,a2,a3,a4,a6] |
j |
-192100033/976896 |
j-invariant |
L |
1.3252696924812 |
L(r)(E,1)/r! |
Ω |
0.33131742312029 |
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 |
50562be1 318d1 |
Quadratic twists by: -3 53 |