Atkin-Lehner |
2- 3- 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
6270p |
Isogeny class |
Conductor |
6270 |
Conductor |
∏ cp |
1152 |
Product of Tamagawa factors cp |
Δ |
-24068144896012800 = -1 · 29 · 316 · 52 · 112 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11- -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,39699,-6811695] |
[a1,a2,a3,a4,a6] |
Generators |
[1278:-46809:1] |
Generators of the group modulo torsion |
j |
6919293138571999151/24068144896012800 |
j-invariant |
L |
6.3317697311983 |
L(r)(E,1)/r! |
Ω |
0.19299046415852 |
Real period |
R |
0.11391916000887 |
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 |
50160ba2 18810h2 31350g2 68970u2 |
Quadratic twists by: -4 -3 5 -11 |