Atkin-Lehner |
3- 5+ 7+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
101745n |
Isogeny class |
Conductor |
101745 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2869709470936875 = 310 · 54 · 72 · 174 · 19 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 4 -6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56880,4555201] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:2621:1] |
Generators of the group modulo torsion |
j |
27917674655834881/3936501331875 |
j-invariant |
L |
5.7925843205476 |
L(r)(E,1)/r! |
Ω |
0.43459647778444 |
Real period |
R |
1.666081244496 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33915g3 |
Quadratic twists by: -3 |