Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
57288u |
Isogeny class |
Conductor |
57288 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
62250515712 = 28 · 33 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4284,105840] |
[a1,a2,a3,a4,a6] |
Generators |
[-42:462:1] |
Generators of the group modulo torsion |
j |
33972969191632/243166077 |
j-invariant |
L |
6.5298051662493 |
L(r)(E,1)/r! |
Ω |
1.1126552178816 |
Real period |
R |
0.2445278742988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114576f2 |
Quadratic twists by: -4 |