Atkin-Lehner |
3- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
111843f |
Isogeny class |
Conductor |
111843 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-3717374164551459 = -1 · 36 · 179 · 43 |
Discriminant |
Eigenvalues |
-1 3- -1 0 -6 1 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1400693,-637717872] |
[a1,a2,a3,a4,a6] |
j |
-17271547035049/211259 |
j-invariant |
L |
0.27755152237628 |
L(r)(E,1)/r! |
Ω |
0.069387865014204 |
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 |
12427a1 6579d1 |
Quadratic twists by: -3 17 |