Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cw |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7312011952128 = 221 · 3 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17997793,29382472607] |
[a1,a2,a3,a4,a6] |
Generators |
[16014615859:-4522224:6539203] |
Generators of the group modulo torsion |
j |
2459470239675979413625/27893112 |
j-invariant |
L |
9.0394744776686 |
L(r)(E,1)/r! |
Ω |
0.37459313189903 |
Real period |
R |
12.065723725174 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999845 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408n4 14352q4 |
Quadratic twists by: -4 8 |