Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17100p |
Isogeny class |
Conductor |
17100 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
112193100000000 = 28 · 310 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26175,-1548250] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:250:1] |
Generators of the group modulo torsion |
j |
680136784/38475 |
j-invariant |
L |
5.5536420054726 |
L(r)(E,1)/r! |
Ω |
0.37666717261795 |
Real period |
R |
1.2286802092134 |
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 |
68400fj2 5700b2 3420b2 |
Quadratic twists by: -4 -3 5 |