Atkin-Lehner |
2+ 3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
11544a |
Isogeny class |
Conductor |
11544 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-12313687634352 = -1 · 24 · 39 · 134 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 -4 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4477,121848] |
[a1,a2,a3,a4,a6] |
j |
620108955392000/769605477147 |
j-invariant |
L |
0.95516344189127 |
L(r)(E,1)/r! |
Ω |
0.47758172094564 |
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 |
23088h1 92352ba1 34632l1 |
Quadratic twists by: -4 8 -3 |