Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dh |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
14517237656250000 = 24 · 38 · 510 · 72 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-158855,-23630353] |
[a1,a2,a3,a4,a6] |
Generators |
[-227:946:1] |
Generators of the group modulo torsion |
j |
38920307374369/1274490000 |
j-invariant |
L |
9.3292930220396 |
L(r)(E,1)/r! |
Ω |
0.23961891304588 |
Real period |
R |
2.4333672432723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000053 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17850q2 10710m2 |
Quadratic twists by: -3 5 |