Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
55176p |
Isogeny class |
Conductor |
55176 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
477409215292416 = 210 · 36 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23272,865280] |
[a1,a2,a3,a4,a6] |
Generators |
[-160:720:1] |
Generators of the group modulo torsion |
j |
768400132/263169 |
j-invariant |
L |
8.6815812947147 |
L(r)(E,1)/r! |
Ω |
0.48297468269514 |
Real period |
R |
2.9958717664094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000061 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110352g2 456b2 |
Quadratic twists by: -4 -11 |