Atkin-Lehner |
2+ 3- 11+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906m |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-13025290696704 = -1 · 211 · 36 · 11 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -1 1 11+ 13- 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-95370,-11313676] |
[a1,a2,a3,a4,a6] |
j |
-131593395518018721/17867339776 |
j-invariant |
L |
1.6300244113755 |
L(r)(E,1)/r! |
Ω |
0.13583536753286 |
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 |
5434i1 |
Quadratic twists by: -3 |