Atkin-Lehner |
2- 3+ 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10230z |
Isogeny class |
Conductor |
10230 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
3375900000000 = 28 · 32 · 58 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 11+ 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-42755,3383777] |
[a1,a2,a3,a4,a6] |
Generators |
[27:1486:1] |
Generators of the group modulo torsion |
j |
8643409304552633521/3375900000000 |
j-invariant |
L |
5.6785091540729 |
L(r)(E,1)/r! |
Ω |
0.7797093634589 |
Real period |
R |
0.11379458768942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840do2 30690h2 51150s2 112530o2 |
Quadratic twists by: -4 -3 5 -11 |