Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48906bg |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6046185519453222 = 2 · 312 · 116 · 132 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1326452,588330465] |
[a1,a2,a3,a4,a6] |
Generators |
[5374:-513:8] |
Generators of the group modulo torsion |
j |
354054805665157799929/8293807296918 |
j-invariant |
L |
3.9613762416349 |
L(r)(E,1)/r! |
Ω |
0.39337363691666 |
Real period |
R |
5.0351318311871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000144 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16302d2 |
Quadratic twists by: -3 |