Atkin-Lehner |
3- 5- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275bf |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
4604637375 = 36 · 53 · 133 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 1 -6 13- -1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-522,3361] |
[a1,a2,a3,a4,a6] |
Generators |
[24:53:1] |
Generators of the group modulo torsion |
j |
172808693/50531 |
j-invariant |
L |
6.3864536498742 |
L(r)(E,1)/r! |
Ω |
1.2776958163045 |
Real period |
R |
0.83306912959365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000672 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7475h1 67275z1 |
Quadratic twists by: -3 5 |