Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608fg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
51993772992 = 26 · 38 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -6 0 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,-107480] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:14:1] [104:756:1] |
Generators of the group modulo torsion |
j |
186756901696/1114407 |
j-invariant |
L |
8.3100095178792 |
L(r)(E,1)/r! |
Ω |
0.59022454298894 |
Real period |
R |
2.346567256048 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ep1 38304z2 25536dj1 |
Quadratic twists by: -4 8 -3 |