Atkin-Lehner |
2- 3- 17+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728w |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
2808815616 = 213 · 35 · 17 · 83 |
Discriminant |
Eigenvalues |
2- 3- -1 2 -6 -5 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-416,1908] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:66:1] [-14:72:1] |
Generators of the group modulo torsion |
j |
1948441249/685746 |
j-invariant |
L |
11.629597383834 |
L(r)(E,1)/r! |
Ω |
1.3149921513423 |
Real period |
R |
0.44219265384908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8466k1 |
Quadratic twists by: -4 |