Atkin-Lehner |
2- 3- 5+ 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
28710bb |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
544481888544000 = 28 · 37 · 53 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50688158,138914471981] |
[a1,a2,a3,a4,a6] |
Generators |
[4113:-1805:1] |
Generators of the group modulo torsion |
j |
19756759069024623752071321/746888736000 |
j-invariant |
L |
7.3397593342527 |
L(r)(E,1)/r! |
Ω |
0.27831772135714 |
Real period |
R |
1.6482420025355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9570p3 |
Quadratic twists by: -3 |