Atkin-Lehner |
2+ 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408bu |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
48 |
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] |
j |
13415107060081/1631747052 |
j-invariant |
L |
6.1421199011232 |
L(r)(E,1)/r! |
Ω |
0.51184332513458 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cp2 1794h2 |
Quadratic twists by: -4 8 |