Atkin-Lehner |
2- 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53856be |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-558379008 = -1 · 212 · 36 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 1 11- -6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24,-1136] |
[a1,a2,a3,a4,a6] |
Generators |
[32:180:1] |
Generators of the group modulo torsion |
j |
512/187 |
j-invariant |
L |
4.6842474986466 |
L(r)(E,1)/r! |
Ω |
0.76875139951445 |
Real period |
R |
1.52332974666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999955 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53856k1 107712bj1 5984a1 |
Quadratic twists by: -4 8 -3 |