Atkin-Lehner |
2- 5- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40040q |
Isogeny class |
Conductor |
40040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
242688 |
Modular degree for the optimal curve |
Δ |
66693186560 = 210 · 5 · 72 · 112 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11- 13+ -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-443080,113372160] |
[a1,a2,a3,a4,a6] |
j |
9394446051303778084/65130065 |
j-invariant |
L |
1.5134689642268 |
L(r)(E,1)/r! |
Ω |
0.75673448208976 |
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 |
80080m1 |
Quadratic twists by: -4 |