Atkin-Lehner |
2+ 3+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906a |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1153985766144354 = 2 · 39 · 113 · 132 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11+ 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-380688,90487430] |
[a1,a2,a3,a4,a6] |
Generators |
[-437:13381:1] |
Generators of the group modulo torsion |
j |
309984960058277139/58628550838 |
j-invariant |
L |
3.6244493114664 |
L(r)(E,1)/r! |
Ω |
0.47355679079812 |
Real period |
R |
3.8268370150382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48906w2 |
Quadratic twists by: -3 |