Atkin-Lehner |
3- 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
63189h |
Isogeny class |
Conductor |
63189 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
172251668727980793 = 310 · 72 · 173 · 594 |
Discriminant |
Eigenvalues |
1 3- 2 7- 0 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3666636,-2701410885] |
[a1,a2,a3,a4,a6] |
Generators |
[-23066895820201658142779837680:5982651703169052895391951775:20888037388965388058759168] |
Generators of the group modulo torsion |
j |
7478244235207286283457/236284867939617 |
j-invariant |
L |
8.5082852204151 |
L(r)(E,1)/r! |
Ω |
0.10910217861909 |
Real period |
R |
38.992279202893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999643 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21063e1 |
Quadratic twists by: -3 |