Atkin-Lehner |
2- 3+ 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
67320y |
Isogeny class |
Conductor |
67320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
20196000000 = 28 · 33 · 56 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11- -4 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,-1134] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:50:1] |
Generators of the group modulo torsion |
j |
5187883248/2921875 |
j-invariant |
L |
6.3187457805461 |
L(r)(E,1)/r! |
Ω |
1.0039227815049 |
Real period |
R |
0.52450463129136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000392 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
67320a1 |
Quadratic twists by: -3 |