Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bj |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1099553616 = 24 · 37 · 7 · 672 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 0 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,-425] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:45:8] |
Generators of the group modulo torsion |
j |
174456832/94269 |
j-invariant |
L |
7.0385670399044 |
L(r)(E,1)/r! |
Ω |
1.2619178450317 |
Real period |
R |
2.7888372713567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000096 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16884k1 22512q1 |
Quadratic twists by: -4 -3 |