Atkin-Lehner |
3- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
111573be |
Isogeny class |
Conductor |
111573 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
860160 |
Modular degree for the optimal curve |
Δ |
42505553285233731 = 36 · 77 · 11 · 235 |
Discriminant |
Eigenvalues |
-1 3- 3 7- 11+ 1 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-111656,-10356272] |
[a1,a2,a3,a4,a6] |
j |
1794942305577/495598411 |
j-invariant |
L |
2.6660667198047 |
L(r)(E,1)/r! |
Ω |
0.26660669203246 |
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 |
12397j1 15939f1 |
Quadratic twists by: -3 -7 |