Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ew |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2186242506620928 = 230 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-45804,-3029168] |
[a1,a2,a3,a4,a6] |
j |
55611739513/11440128 |
j-invariant |
L |
2.6485103408483 |
L(r)(E,1)/r! |
Ω |
0.33106379352309 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608bt1 19152bz1 25536df1 |
Quadratic twists by: -4 8 -3 |