Atkin-Lehner |
2- 3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
54978bz |
Isogeny class |
Conductor |
54978 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
161287917206724 = 22 · 34 · 76 · 114 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11- 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19944,-897156] |
[a1,a2,a3,a4,a6] |
Generators |
[-570:3519:8] |
Generators of the group modulo torsion |
j |
7457162887153/1370924676 |
j-invariant |
L |
10.096572467258 |
L(r)(E,1)/r! |
Ω |
0.40683485435226 |
Real period |
R |
1.5510858335962 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000074 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1122h2 |
Quadratic twists by: -7 |