Atkin-Lehner |
2+ 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
28830l |
Isogeny class |
Conductor |
28830 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-319834139040375000 = -1 · 23 · 3 · 56 · 318 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -1 -3 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-421419,-108791474] |
[a1,a2,a3,a4,a6] |
j |
-9704452009/375000 |
j-invariant |
L |
2.2434646767909 |
L(r)(E,1)/r! |
Ω |
0.093477694866327 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86490cj2 28830d2 |
Quadratic twists by: -3 -31 |