Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16854t |
Isogeny class |
Conductor |
16854 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
572832 |
Modular degree for the optimal curve |
Δ |
-4157236940059312128 = -1 · 217 · 33 · 537 |
Discriminant |
Eigenvalues |
2- 3- -4 1 -1 -4 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,397415,18043961] |
[a1,a2,a3,a4,a6] |
Generators |
[128:8363:1] |
Generators of the group modulo torsion |
j |
313185171671/187564032 |
j-invariant |
L |
6.958332134217 |
L(r)(E,1)/r! |
Ω |
0.15093111432771 |
Real period |
R |
0.2259936355608 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50562k1 318e1 |
Quadratic twists by: -3 53 |