Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6630l |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
23271300 = 22 · 34 · 52 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 2 13- 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-709,7196] |
[a1,a2,a3,a4,a6] |
Generators |
[28:-112:1] |
Generators of the group modulo torsion |
j |
39335220262729/23271300 |
j-invariant |
L |
3.0125688389076 |
L(r)(E,1)/r! |
Ω |
2.1120061844552 |
Real period |
R |
0.17830019042325 |
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 |
53040bn1 19890bj1 33150bm1 86190cx1 |
Quadratic twists by: -4 -3 5 13 |