Atkin-Lehner |
2- 7+ 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936q |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1119744 |
Modular degree for the optimal curve |
Δ |
-288808239104 = -1 · 220 · 73 · 11 · 73 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4042424,-3126971024] |
[a1,a2,a3,a4,a6] |
j |
-1783567140616110895417/70509824 |
j-invariant |
L |
0.95825609670695 |
L(r)(E,1)/r! |
Ω |
0.053236449596997 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242d1 |
Quadratic twists by: -4 |