Atkin-Lehner |
2- 3- 7- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
65142bc |
Isogeny class |
Conductor |
65142 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
901120 |
Modular degree for the optimal curve |
Δ |
-150471908425504512 = -1 · 28 · 316 · 74 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11- 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-570470,-166747147] |
[a1,a2,a3,a4,a6] |
j |
-28163971867946937625/206408653532928 |
j-invariant |
L |
5.5564997274869 |
L(r)(E,1)/r! |
Ω |
0.086820308306432 |
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 |
21714f1 |
Quadratic twists by: -3 |