Atkin-Lehner |
2+ 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17850u |
Isogeny class |
Conductor |
17850 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2887688462400000000 = 212 · 32 · 58 · 74 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-435501,74476648] |
[a1,a2,a3,a4,a6] |
Generators |
[142:3866:1] |
Generators of the group modulo torsion |
j |
584614687782041281/184812061593600 |
j-invariant |
L |
4.760963373974 |
L(r)(E,1)/r! |
Ω |
0.23505873710495 |
Real period |
R |
2.5317945168788 |
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 |
53550eb2 3570t2 124950bc2 |
Quadratic twists by: -3 5 -7 |