Atkin-Lehner |
2+ 5+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
111320a |
Isogeny class |
Conductor |
111320 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
-29444140000000 = -1 · 28 · 57 · 112 · 233 |
Discriminant |
Eigenvalues |
2+ 0 5+ -1 11- -2 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13343,-648142] |
[a1,a2,a3,a4,a6] |
j |
-8481229876944/950546875 |
j-invariant |
L |
0.44142124545348 |
L(r)(E,1)/r! |
Ω |
0.22071064750322 |
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 |
111320m1 |
Quadratic twists by: -11 |