Atkin-Lehner |
2- 3+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408cp |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
427752699199488 = 220 · 33 · 134 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 4 -2 0 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31681,-1918367] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:320:1] |
Generators of the group modulo torsion |
j |
13415107060081/1631747052 |
j-invariant |
L |
7.1643555339895 |
L(r)(E,1)/r! |
Ω |
0.36069911414069 |
Real period |
R |
2.4828018884473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408bu2 14352ba2 |
Quadratic twists by: -4 8 |