Atkin-Lehner |
2+ 3- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
24966f |
Isogeny class |
Conductor |
24966 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2016729312912 = 24 · 314 · 192 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5913,-159651] |
[a1,a2,a3,a4,a6] |
Generators |
[-51:111:1] |
Generators of the group modulo torsion |
j |
31366144171153/2766432528 |
j-invariant |
L |
3.0820114272219 |
L(r)(E,1)/r! |
Ω |
0.54749815437256 |
Real period |
R |
1.4073158980572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8322j1 |
Quadratic twists by: -3 |