Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57408da |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
134108762112 = 212 · 32 · 13 · 234 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2185,-35881] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:45:1] |
Generators of the group modulo torsion |
j |
281784327616/32741397 |
j-invariant |
L |
4.141893644379 |
L(r)(E,1)/r! |
Ω |
0.70355644167486 |
Real period |
R |
2.9435404175633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408ck2 28704d1 |
Quadratic twists by: -4 8 |