Atkin-Lehner |
2+ 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12936f |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-139444416318670848 = -1 · 211 · 314 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 11+ 0 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-390840,95878476] |
[a1,a2,a3,a4,a6] |
j |
-27403349188178/578739249 |
j-invariant |
L |
0.65442352917403 |
L(r)(E,1)/r! |
Ω |
0.32721176458701 |
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 |
25872bb2 103488el2 38808cp2 264d2 |
Quadratic twists by: -4 8 -3 -7 |