Atkin-Lehner |
2- 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
13266p |
Isogeny class |
Conductor |
13266 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
1038340247076 = 22 · 37 · 116 · 67 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8024,274263] |
[a1,a2,a3,a4,a6] |
j |
78364289651257/1424335044 |
j-invariant |
L |
5.2571731407988 |
L(r)(E,1)/r! |
Ω |
0.87619552346646 |
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 |
106128bg1 4422a1 |
Quadratic twists by: -4 -3 |