Atkin-Lehner |
2+ 3+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56640b |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
57999360 = 216 · 3 · 5 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-75521,8013441] |
[a1,a2,a3,a4,a6] |
j |
726863277530884/885 |
j-invariant |
L |
2.5149197120913 |
L(r)(E,1)/r! |
Ω |
1.2574598557696 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640cn4 7080f4 |
Quadratic twists by: -4 8 |