Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408ba |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1687023724658688 = 217 · 316 · 13 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-59777,5246943] |
[a1,a2,a3,a4,a6] |
j |
180228470715074/12870969579 |
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 |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cg3 7176l4 |
Quadratic twists by: -4 8 |