Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850u |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
512 |
Product of Tamagawa factors cp |
Δ |
8.4342641630625E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2747501,-1696515352] |
[a1,a2,a3,a4,a6] |
Generators |
[-1068:4996:1] |
Generators of the group modulo torsion |
j |
146796951366228945601/5397929064360000 |
j-invariant |
L |
4.760963373974 |
L(r)(E,1)/r! |
Ω |
0.11752936855247 |
Real period |
R |
1.2658972584394 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53550eb3 3570t3 124950bc3 |
Quadratic twists by: -3 5 -7 |