Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bm |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
845064900000000 = 28 · 34 · 58 · 172 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-26563,903617] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1529:1] |
Generators of the group modulo torsion |
j |
132658803153001/54084153600 |
j-invariant |
L |
11.267498649209 |
L(r)(E,1)/r! |
Ω |
0.45407300145426 |
Real period |
R |
0.77544652877228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000024 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9690h2 |
Quadratic twists by: 5 |