Atkin-Lehner |
3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573bf |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
-3112718663363463 = -1 · 310 · 77 · 112 · 232 |
Discriminant |
Eigenvalues |
-1 3- -4 7- 11+ 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-31982,-3463540] |
[a1,a2,a3,a4,a6] |
j |
-42180533641/36293103 |
j-invariant |
L |
0.68910124031998 |
L(r)(E,1)/r! |
Ω |
0.17227520658478 |
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 |
37191f1 15939h1 |
Quadratic twists by: -3 -7 |