Atkin-Lehner |
3- 7+ 17+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
71757g |
Isogeny class |
Conductor |
71757 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
52310853 = 38 · 7 · 17 · 67 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3444336,-2459542865] |
[a1,a2,a3,a4,a6] |
Generators |
[-289952617308102497636622963176600:144975060364938275611665271060993:270667584328906394669096000000] |
Generators of the group modulo torsion |
j |
6198873694626499520257/71757 |
j-invariant |
L |
9.7066510274586 |
L(r)(E,1)/r! |
Ω |
0.11082128230445 |
Real period |
R |
43.794164922061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999996816 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23919a4 |
Quadratic twists by: -3 |