Atkin-Lehner |
2- 3- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bs |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
142327169678573568 = 218 · 310 · 13 · 294 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-51759579,-143329046902] |
[a1,a2,a3,a4,a6] |
j |
5135804003824189180057/47665081152 |
j-invariant |
L |
0.4502895396367 |
L(r)(E,1)/r! |
Ω |
0.056286192431017 |
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 |
6786p3 18096z3 |
Quadratic twists by: -4 -3 |