Atkin-Lehner |
2- 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408ck |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
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 |
[39:92:1] |
Generators of the group modulo torsion |
j |
281784327616/32741397 |
j-invariant |
L |
2.6982733722745 |
L(r)(E,1)/r! |
Ω |
1.0040300943763 |
Real period |
R |
0.6718606810878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000419 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408da2 28704l1 |
Quadratic twists by: -4 8 |