Atkin-Lehner |
2- 3- 17- 53- |
Signs for the Atkin-Lehner involutions |
Class |
10812g |
Isogeny class |
Conductor |
10812 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
6227712 = 28 · 33 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -2 1 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-68,-204] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:6:1] |
Generators of the group modulo torsion |
j |
137842000/24327 |
j-invariant |
L |
5.896696115733 |
L(r)(E,1)/r! |
Ω |
1.6805920967442 |
Real period |
R |
1.1695671874923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43248s1 32436c1 |
Quadratic twists by: -4 -3 |