Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
8010n |
Isogeny class |
Conductor |
8010 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
220674710534400 = 28 · 318 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8868182,-10162609819] |
[a1,a2,a3,a4,a6] |
Generators |
[63891:16099609:1] |
Generators of the group modulo torsion |
j |
105803474625631920221209/302708793600 |
j-invariant |
L |
6.0062259463851 |
L(r)(E,1)/r! |
Ω |
0.087486473165738 |
Real period |
R |
8.5816494382604 |
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 |
64080bj1 2670b1 40050q1 |
Quadratic twists by: -4 -3 5 |