Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6630j |
Isogeny class |
Conductor |
6630 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
200350631681460 = 22 · 320 · 5 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-307684,-65712898] |
[a1,a2,a3,a4,a6] |
Generators |
[-320:218:1] |
Generators of the group modulo torsion |
j |
3221338935539503699129/200350631681460 |
j-invariant |
L |
3.4283123352577 |
L(r)(E,1)/r! |
Ω |
0.20270997321152 |
Real period |
R |
0.84562004546276 |
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 |
53040bk4 19890bg4 33150bj4 86190cu4 |
Quadratic twists by: -4 -3 5 13 |