Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
63648i |
Isogeny class |
Conductor |
63648 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1834910356032 = 26 · 310 · 134 · 17 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3117,-15460] |
[a1,a2,a3,a4,a6] |
Generators |
[76:432:1] |
Generators of the group modulo torsion |
j |
71783828416/39328497 |
j-invariant |
L |
4.8148786422055 |
L(r)(E,1)/r! |
Ω |
0.68272203141304 |
Real period |
R |
3.5262364627704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999891 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63648s1 127296bw1 21216j1 |
Quadratic twists by: -4 8 -3 |