Atkin-Lehner |
2- 3- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
6138l |
Isogeny class |
Conductor |
6138 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-2745947151953878752 = -1 · 25 · 328 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11+ -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-317750,-105320667] |
[a1,a2,a3,a4,a6] |
j |
-4866890555501529625/3766731346987488 |
j-invariant |
L |
3.8917283203551 |
L(r)(E,1)/r! |
Ω |
0.097293208008876 |
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 |
49104bm2 2046b2 67518s2 |
Quadratic twists by: -4 -3 -11 |