Atkin-Lehner |
2+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
8722d |
Isogeny class |
Conductor |
8722 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-131345225984 = -1 · 28 · 78 · 89 |
Discriminant |
Eigenvalues |
2+ 1 -1 7- 0 -2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-80974,-8875520] |
[a1,a2,a3,a4,a6] |
j |
-499073536793161/1116416 |
j-invariant |
L |
1.1320711734923 |
L(r)(E,1)/r! |
Ω |
0.14150889668654 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
69776n1 78498bx1 1246e1 |
Quadratic twists by: -4 -3 -7 |