Atkin-Lehner |
2+ 3- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266d |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
14336 |
Modular degree for the optimal curve |
Δ |
290488467456 = 214 · 37 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 11+ 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4176,101632] |
[a1,a2,a3,a4,a6] |
j |
11049335260417/398475264 |
j-invariant |
L |
1.9330120656539 |
L(r)(E,1)/r! |
Ω |
0.96650603282695 |
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 |
106128bz1 4422l1 |
Quadratic twists by: -4 -3 |