Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408ba |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
38440793604096 = 216 · 38 · 132 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11937,-407745] |
[a1,a2,a3,a4,a6] |
j |
2870554156708/586559961 |
j-invariant |
L |
3.7063934685055 |
L(r)(E,1)/r! |
Ω |
0.46329918387315 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57408cg2 7176l2 |
Quadratic twists by: -4 8 |