Atkin-Lehner |
2+ 3+ 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450b |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3.0719647979736E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-42664025,-66303826875] |
[a1,a2,a3,a4,a6] |
Generators |
[-7580174:-475290731:2744] |
Generators of the group modulo torsion |
j |
549653727492794875187089/196605747070312500000 |
j-invariant |
L |
2.8743479345796 |
L(r)(E,1)/r! |
Ω |
0.060823912753258 |
Real period |
R |
11.814218308614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999137 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690r3 |
Quadratic twists by: 5 |