Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
11466z |
Isogeny class |
Conductor |
11466 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-5213105407663276032 = -1 · 220 · 36 · 79 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,382044,61599824] |
[a1,a2,a3,a4,a6] |
j |
71903073502287/60782804992 |
j-invariant |
L |
1.2549587083363 |
L(r)(E,1)/r! |
Ω |
0.15686983854204 |
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 |
91728fn1 1274k1 1638e1 |
Quadratic twists by: -4 -3 -7 |